Greatest Common Factor of 6667/749, 5473/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6667/749, 5473/540

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 6667/749,5473/540

Given fractions are 6667/749,5473/540

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 6667,5473

Greatest Common Factor of Numerators i.e. GCF of 6667,5473 is 1 .

LCM of Denominators means LCM of 749,540 as per the given fractions.

LCM of 749,540 is 404460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6667,5473

GCF of Fractions 6667/749,5473/540 is 1/404460

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6667,5473 By Matching Biggest Common Factor Method

Greatest Common Factor of 6667,5473 By Matching Biggest Common Factor Method

Factors of 6667

List of positive integer factors of 6667 that divides 6667 without a remainder.

1,59,113,6667

Factors of 5473

List of positive integer factors of 5473 that divides 5473 without a remainder.

1,13,421,5473

Greatest Common Factor

We found the factors 6667,5473 . The biggest common factor number is the GCF number.
So the greatest common factor 6667,5473 is 1.

Lets's calculate LCM of 749,540

Given numbers has no common factors except 1. So, there LCM is their product i.e 404460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/404460

Therefore, the GCF of Fractions 6667/749,5473/540 is 1/404460

Least Common Multiple of 749,540 with GCF Formula

Least Common Multiple of 749,540 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 749,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,540) = 1

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

GCF(749,540) x common factors =1 x 1 = 1

LCM(749,540) = ( 749 × 540 ) / 1

LCM(749,540) = 404460 / 1

LCM(749,540) = 404460


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 6667/749, 5473/540

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 6667/749, 5473/540?

Answer: GCF of Numerators as per given numbers 6667/749, 5473/540 is

GCF of Numerators i.e. for 6667,5473 is 1

LCM of denominators i.e. for 749,540 is 404460.

Thus, GCF of Fractions is 1/404460.Finally, GCF of Fractions for 6667/749, 5473/540 is 1/404460.