Greatest Common Factor of 7509/374, 4647/262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7509/374, 4647/262

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 7509/374,4647/262

Given fractions are 7509/374,4647/262

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 7509,4647

Greatest Common Factor of Numerators i.e. GCF of 7509,4647 is 3 .

LCM of Denominators means LCM of 374,262 as per the given fractions.

LCM of 374,262 is 48994 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7509,4647

GCF of Fractions 7509/374,4647/262 is 3/48994

3 7509, 4647
2503, 1549

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7509,4647 By Matching Biggest Common Factor Method

Greatest Common Factor of 7509,4647 By Matching Biggest Common Factor Method

Factors of 7509

List of positive integer factors of 7509 that divides 7509 without a remainder.

1,3,2503,7509

Factors of 4647

List of positive integer factors of 4647 that divides 4647 without a remainder.

1,3,1549,4647

Greatest Common Factor

We found the factors 7509,4647 . The biggest common factor number is the GCF number.
So the greatest common factor 7509,4647 is 3.

Lets's calculate LCM of 374,262

2 374, 262
187, 131

∴ So the LCM of the given numbers is 2 x 187 x 131 = 48994

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/48994

Therefore, the GCF of Fractions 7509/374,4647/262 is 3/48994

Least Common Multiple of 374,262 with GCF Formula

Least Common Multiple of 374,262 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 374,262 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(374,262) = 2

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

GCF(374,262) x common factors =2 x 1 = 2

LCM(374,262) = ( 374 × 262 ) / 2

LCM(374,262) = 97988 / 2

LCM(374,262) = 48994


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 7509/374, 4647/262

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 7509/374, 4647/262?

Answer: GCF of Numerators as per given numbers 7509/374, 4647/262 is

GCF of Numerators i.e. for 7509,4647 is 3

LCM of denominators i.e. for 374,262 is 48994.

Thus, GCF of Fractions is 3/48994.Finally, GCF of Fractions for 7509/374, 4647/262 is 3/48994.