Greatest Common Factor of 6456/693, 7149/550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6456/693, 7149/550

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 6456/693,7149/550

Given fractions are 6456/693,7149/550

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 6456,7149

Greatest Common Factor of Numerators i.e. GCF of 6456,7149 is 3 .

LCM of Denominators means LCM of 693,550 as per the given fractions.

LCM of 693,550 is 34650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6456,7149

GCF of Fractions 6456/693,7149/550 is 3/34650

3 6456, 7149
2152, 2383

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

Greatest Common Factor of 6456,7149 By Matching Biggest Common Factor Method

Greatest Common Factor of 6456,7149 By Matching Biggest Common Factor Method

Factors of 6456

List of positive integer factors of 6456 that divides 6456 without a remainder.

1,2,3,4,6,8,12,24,269,538,807,1076,1614,2152,3228,6456

Factors of 7149

List of positive integer factors of 7149 that divides 7149 without a remainder.

1,3,2383,7149

Greatest Common Factor

We found the factors 6456,7149 . The biggest common factor number is the GCF number.
So the greatest common factor 6456,7149 is 3.

Lets's calculate LCM of 693,550

11 693, 550
63, 50

∴ So the LCM of the given numbers is 11 x 63 x 50 = 34650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/34650

Therefore, the GCF of Fractions 6456/693,7149/550 is 3/34650

Least Common Multiple of 693,550 with GCF Formula

Least Common Multiple of 693,550 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 693,550 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(693,550) = 11

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

GCF(693,550) x common factors =11 x 1 = 11

LCM(693,550) = ( 693 × 550 ) / 11

LCM(693,550) = 381150 / 11

LCM(693,550) = 34650


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 6456/693, 7149/550

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 6456/693, 7149/550?

Answer: GCF of Numerators as per given numbers 6456/693, 7149/550 is

GCF of Numerators i.e. for 6456,7149 is 3

LCM of denominators i.e. for 693,550 is 34650.

Thus, GCF of Fractions is 3/34650.Finally, GCF of Fractions for 6456/693, 7149/550 is 3/34650.