Greatest Common Factor of 7006/48, 8950/938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7006/48, 8950/938

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 7006/48,8950/938

Given fractions are 7006/48,8950/938

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 7006,8950

Greatest Common Factor of Numerators i.e. GCF of 7006,8950 is 2 .

LCM of Denominators means LCM of 48,938 as per the given fractions.

LCM of 48,938 is 22512 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7006,8950

GCF of Fractions 7006/48,8950/938 is 2/22512

2 7006, 8950
3503, 4475

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

Greatest Common Factor of 7006,8950 By Matching Biggest Common Factor Method

Greatest Common Factor of 7006,8950 By Matching Biggest Common Factor Method

Factors of 7006

List of positive integer factors of 7006 that divides 7006 without a remainder.

1,2,31,62,113,226,3503,7006

Factors of 8950

List of positive integer factors of 8950 that divides 8950 without a remainder.

1,2,5,10,25,50,179,358,895,1790,4475,8950

Greatest Common Factor

We found the factors 7006,8950 . The biggest common factor number is the GCF number.
So the greatest common factor 7006,8950 is 2.

Lets's calculate LCM of 48,938

2 48, 938
24, 469

∴ So the LCM of the given numbers is 2 x 24 x 469 = 22512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/22512

Therefore, the GCF of Fractions 7006/48,8950/938 is 2/22512

Least Common Multiple of 48,938 with GCF Formula

Least Common Multiple of 48,938 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 48,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,938) = 2

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

GCF(48,938) x common factors =2 x 1 = 2

LCM(48,938) = ( 48 × 938 ) / 2

LCM(48,938) = 45024 / 2

LCM(48,938) = 22512


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 7006/48, 8950/938

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 7006/48, 8950/938?

Answer: GCF of Numerators as per given numbers 7006/48, 8950/938 is

GCF of Numerators i.e. for 7006,8950 is 2

LCM of denominators i.e. for 48,938 is 22512.

Thus, GCF of Fractions is 2/22512.Finally, GCF of Fractions for 7006/48, 8950/938 is 2/22512.