Greatest Common Factor of 6992/964, 9018/948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6992/964, 9018/948

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 6992/964,9018/948

Given fractions are 6992/964,9018/948

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 6992,9018

Greatest Common Factor of Numerators i.e. GCF of 6992,9018 is 2 .

LCM of Denominators means LCM of 964,948 as per the given fractions.

LCM of 964,948 is 228468 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6992,9018

GCF of Fractions 6992/964,9018/948 is 2/228468

2 6992, 9018
3496, 4509

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6992,9018 By Matching Biggest Common Factor Method

Greatest Common Factor of 6992,9018 By Matching Biggest Common Factor Method

Factors of 6992

List of positive integer factors of 6992 that divides 6992 without a remainder.

1,2,4,8,16,19,23,38,46,76,92,152,184,304,368,437,874,1748,3496,6992

Factors of 9018

List of positive integer factors of 9018 that divides 9018 without a remainder.

1,2,3,6,9,18,27,54,167,334,501,1002,1503,3006,4509,9018

Greatest Common Factor

We found the factors 6992,9018 . The biggest common factor number is the GCF number.
So the greatest common factor 6992,9018 is 2.

Lets's calculate LCM of 964,948

2 964, 948
2 482, 474
241, 237

∴ So the LCM of the given numbers is 2 x 2 x 241 x 237 = 228468

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/228468

Therefore, the GCF of Fractions 6992/964,9018/948 is 2/228468

Least Common Multiple of 964,948 with GCF Formula

Least Common Multiple of 964,948 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 964,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(964,948) = 4

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

GCF(964,948) x common factors =4 x 1 = 4

LCM(964,948) = ( 964 × 948 ) / 4

LCM(964,948) = 913872 / 4

LCM(964,948) = 228468


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 6992/964, 9018/948

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 6992/964, 9018/948?

Answer: GCF of Numerators as per given numbers 6992/964, 9018/948 is

GCF of Numerators i.e. for 6992,9018 is 2

LCM of denominators i.e. for 964,948 is 228468.

Thus, GCF of Fractions is 2/228468.Finally, GCF of Fractions for 6992/964, 9018/948 is 2/228468.