Greatest Common Factor of 947/226, 5852/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 947/226, 5852/162

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 947/226,5852/162

Given fractions are 947/226,5852/162

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 947,5852

Greatest Common Factor of Numerators i.e. GCF of 947,5852 is 1 .

LCM of Denominators means LCM of 226,162 as per the given fractions.

LCM of 226,162 is 18306 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 947,5852

GCF of Fractions 947/226,5852/162 is 1/18306

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 947,5852 By Matching Biggest Common Factor Method

Greatest Common Factor of 947,5852 By Matching Biggest Common Factor Method

Factors of 947

List of positive integer factors of 947 that divides 947 without a remainder.

1,947

Factors of 5852

List of positive integer factors of 5852 that divides 5852 without a remainder.

1,2,4,7,11,14,19,22,28,38,44,76,77,133,154,209,266,308,418,532,836,1463,2926,5852

Greatest Common Factor

We found the factors 947,5852 . The biggest common factor number is the GCF number.
So the greatest common factor 947,5852 is 1.

Lets's calculate LCM of 226,162

2 226, 162
113, 81

∴ So the LCM of the given numbers is 2 x 113 x 81 = 18306

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18306

Therefore, the GCF of Fractions 947/226,5852/162 is 1/18306

Least Common Multiple of 226,162 with GCF Formula

Least Common Multiple of 226,162 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 226,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(226,162) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(226,162) x common factors =2 x 1 = 2

LCM(226,162) = ( 226 × 162 ) / 2

LCM(226,162) = 36612 / 2

LCM(226,162) = 18306


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 947/226, 5852/162

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 947/226, 5852/162?

Answer: GCF of Numerators as per given numbers 947/226, 5852/162 is

GCF of Numerators i.e. for 947,5852 is 1

LCM of denominators i.e. for 226,162 is 18306.

Thus, GCF of Fractions is 1/18306.Finally, GCF of Fractions for 947/226, 5852/162 is 1/18306.