Greatest Common Factor of 7494/749, 6558/7189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7494/749, 6558/7189

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 7494/749,6558/7189

Given fractions are 7494/749,6558/7189

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 7494,6558

Greatest Common Factor of Numerators i.e. GCF of 7494,6558 is 6 .

LCM of Denominators means LCM of 749,7189 as per the given fractions.

LCM of 749,7189 is 769223 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7494,6558

GCF of Fractions 7494/749,6558/7189 is 6/769223

2 7494, 6558
3 3747, 3279
1249, 1093

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 7494,6558 By Matching Biggest Common Factor Method

Greatest Common Factor of 7494,6558 By Matching Biggest Common Factor Method

Factors of 7494

List of positive integer factors of 7494 that divides 7494 without a remainder.

1,2,3,6,1249,2498,3747,7494

Factors of 6558

List of positive integer factors of 6558 that divides 6558 without a remainder.

1,2,3,6,1093,2186,3279,6558

Greatest Common Factor

We found the factors 7494,6558 . The biggest common factor number is the GCF number.
So the greatest common factor 7494,6558 is 6.

Lets's calculate LCM of 749,7189

7 749, 7189
107, 1027

∴ So the LCM of the given numbers is 7 x 107 x 1027 = 769223

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/769223

Therefore, the GCF of Fractions 7494/749,6558/7189 is 6/769223

Least Common Multiple of 749,7189 with GCF Formula

Least Common Multiple of 749,7189 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 749,7189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,7189) = 7

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

GCF(749,7189) x common factors =7 x 1 = 7

LCM(749,7189) = ( 749 × 7189 ) / 7

LCM(749,7189) = 5384561 / 7

LCM(749,7189) = 769223


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 7494/749, 6558/7189

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 7494/749, 6558/7189?

Answer: GCF of Numerators as per given numbers 7494/749, 6558/7189 is

GCF of Numerators i.e. for 7494,6558 is 6

LCM of denominators i.e. for 749,7189 is 769223.

Thus, GCF of Fractions is 6/769223.Finally, GCF of Fractions for 7494/749, 6558/7189 is 6/769223.