What is GCF of 11 and 34?

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GCF of 11 and 34 is 1

How to find GCF of two numbers

Steps to find GCF of 11 and 34

Find all the numbers that would divide 11 and 34 without leaving any remainder as explained in factors below.
Find the greatest common factor from the list of factors for 11 and 34, and read off the answer!

Example: Find gcf of 11 and 34

Factors for 11: 1, 11
Factors for 34: 1, 2, 17, 34

Hence, GCf of 11 and 34 is 1

What is GCF of two numbers?

In mathematics GCF or also known as greatest common factor of two or more number is that one largest number which is a factor of those given numbers. It is represented as GCF (11, 34).

Properties of GCF

The GCF of two given numbers where one of them is a prime number is either 1 or the number itself.
GCF of two consecutive numbers is always 1.
Given two numbers 11 and 34, such that GCF is 1 where 1 will always be less than 11 and 34.
Product of two numbers is always equal to the product of their GCF and LCM.

How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

Properties of Factors

Every number is a factor of zero (0), since 11 x 0 = 0 and 34 x 0 = 0.
Every number other than 1 has at least two factors, namely the number itself and 1.
Every factor of a number is an exact divisor of that number, example 1, 11 are exact divisors of 11 and 1, 2, 17, 34 are exact divisors of 34.
Factors of 11 are 1, 11. Each factor divides 11 without leaving a remainder.
Simlarly, factors of 34 are 1, 2, 17, 34. Each factor divides 34 without leaving a remainder.

Steps to find Factors of 11 and 34

Step 1. Find all the numbers that would divide 11 and 34 without leaving any remainder. Starting with the number 1 upto 5 (half of 11) and 1 upto 17 (half of 34). The number 1 and the number itself are always factors of the given number.

11 ÷ 1 : Remainder = 0

34 ÷ 1 : Remainder = 0

11 ÷ 11 : Remainder = 0

34 ÷ 2 : Remainder = 0

34 ÷ 17 : Remainder = 0

34 ÷ 34 : Remainder = 0

Hence, Factors of 11 are 1 and 11

And, Factors of 34 are 1, 2, 17, and 34

Examples of GCF

A class has 11 boys and 34 girls. A choir teacher wants to form a choir team from this class such that the students are standing in equal rows also girls or boys will be in each row. Teacher wants to know the greatest number of students that could be in each row, can you help him?

To find the greatest number of students that could be in each row, we need to find the GCF of 11 and 34. Hence, GCF of 11 and 34 is 1.

What is the difference between GCF and LCM?

Major and simple difference betwen GCF and LCM is that GCF gives you the greatest common factor while LCM finds out the least common factor possible for the given numbers.

What is the relation between LCM and GCF (Greatest Common Factor)?

GCF and LCM of two numbers can be related as GCF(11, 34) = ( 11 * 34 ) / LCM(11, 34) = 1.

What is the GCF of 11 and 34?

GCF of 11 and 34 is 1.

Ram has 11 cans of Pepsi and 34 cans of Coca Cola. He wants to create identical refreshment tables that will be organized in his house warming party. He also doesn't want to have any can left over. What is the greatest number of tables that Ram can arrange?

To find the greatest number of tables that Ram can stock we need to find the GCF of 11 and 34. Hence GCF of 11 and 34 is 1. So the number of tables that can be arranged is 1.

Rubel is creating individual servings of starters for her birthday party. He has 11 pizzas and 34 hamburgers. He wants each serving to be identical, with no left overs. Can you help Rubel in arranging the same in greatest possible way?

The greatest number of servings Rubel can create would be equal to the GCF of 11 and 34. Thus GCF of 11 and 34 is 1.

Ariel is making ready to eat meals to share with friends. She has 11 bottles of water and 34 cans of food, which she would like to distribute equally, with no left overs. What is the greatest number of boxes Ariel can make?

The greatest number of boxes Ariel can make would be equal to GCF of 11 and 34. So the GCF of 11 and 34 is 1.

Mary has 11 blue buttons and 34 white buttons. She wants to place them in identical groups without any buttons left, in the greatest way possible. Can you help Mary arranging them in groups?

Greatest possible way in which Mary can arrange them in groups would be GCF of 11 and 34. Hence, the GCF of 11 and 34 or the greatest arrangement is 1.

Kunal is making baskets full of nuts and dried fruits. He has 11 bags of nuts and 34 bags of dried fruits. He wants each basket to be identical, containing the same combination of bags of nuts and bags of driesn fruits, with no left overs. What is the greatest number of baskets that Kunal can make?

the greatest number of baskets that Kunal can make would be equal to GCF of 11 and 34. So the GCF of 11 and 34 is 1.