Greatest Common Factor of 9128/17, 6636/962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9128/17, 6636/962

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 9128/17,6636/962

Given fractions are 9128/17,6636/962

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 9128,6636

Greatest Common Factor of Numerators i.e. GCF of 9128,6636 is 28 .

LCM of Denominators means LCM of 17,962 as per the given fractions.

LCM of 17,962 is 16354 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9128,6636

GCF of Fractions 9128/17,6636/962 is 28/16354

2 9128, 6636
2 4564, 3318
7 2282, 1659
326, 237

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Greatest Common Factor of 9128,6636 By Matching Biggest Common Factor Method

Greatest Common Factor of 9128,6636 By Matching Biggest Common Factor Method

Factors of 9128

List of positive integer factors of 9128 that divides 9128 without a remainder.

1,2,4,7,8,14,28,56,163,326,652,1141,1304,2282,4564,9128

Factors of 6636

List of positive integer factors of 6636 that divides 6636 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,79,84,158,237,316,474,553,948,1106,1659,2212,3318,6636

Greatest Common Factor

We found the factors 9128,6636 . The biggest common factor number is the GCF number.
So the greatest common factor 9128,6636 is 28.

Lets's calculate LCM of 17,962

Given numbers has no common factors except 1. So, there LCM is their product i.e 16354

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/16354

Therefore, the GCF of Fractions 9128/17,6636/962 is 28/16354

Least Common Multiple of 17,962 with GCF Formula

Least Common Multiple of 17,962 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 17,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,962) = 1

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

GCF(17,962) x common factors =1 x 1 = 1

LCM(17,962) = ( 17 × 962 ) / 1

LCM(17,962) = 16354 / 1

LCM(17,962) = 16354


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 9128/17, 6636/962

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 9128/17, 6636/962?

Answer: GCF of Numerators as per given numbers 9128/17, 6636/962 is

GCF of Numerators i.e. for 9128,6636 is 28

LCM of denominators i.e. for 17,962 is 16354.

Thus, GCF of Fractions is 28/16354.Finally, GCF of Fractions for 9128/17, 6636/962 is 28/16354.