Greatest Common Factor of 621/540, 666/719, 748/415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 621/540, 666/719, 748/415

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 621/540,666/719,748/415

Given fractions are 621/540,666/719,748/415

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 621,666,748

Greatest Common Factor of Numerators i.e. GCF of 621,666,748 is 1 .

LCM of Denominators means LCM of 540,719,415 as per the given fractions.

LCM of 540,719,415 is 32225580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 621,666,748

GCF of Fractions 621/540,666/719,748/415 is 1/32225580

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

Greatest Common Factor of 621,666,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 621,666,748 By Matching Biggest Common Factor Method

Factors of 621

List of positive integer factors of 621 that divides 621 without a remainder.

1,3,9,23,27,69,207,621

Factors of 666

List of positive integer factors of 666 that divides 666 without a remainder.

1,2,3,6,9,18,37,74,111,222,333,666

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 621,666,748 . The biggest common factor number is the GCF number.
So the greatest common factor 621,666,748 is 1.

Lets's calculate LCM of 540,719,415

5 540, 719, 415
108, 719, 83

∴ So the LCM of the given numbers is 5 x 108 x 719 x 83 = 32225580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32225580

Therefore, the GCF of Fractions 621/540,666/719,748/415 is 1/32225580

Least Common Multiple of 540,719,415 with GCF Formula

Least Common Multiple of 540,719,415 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 540,719,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(540,719,415) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(540,719,415) x common factors =1 x 5 = 5

LCM(540,719,415) = ( 540 × 719 × 415 ) / 5

LCM(540,719,415) = 161127900 / 5

LCM(540,719,415) = 32225580


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 621/540, 666/719, 748/415

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 621/540, 666/719, 748/415?

Answer: GCF of Numerators as per given numbers 621/540, 666/719, 748/415 is

GCF of Numerators i.e. for 621,666,748 is 1

LCM of denominators i.e. for 540,719,415 is 32225580.

Thus, GCF of Fractions is 1/32225580.Finally, GCF of Fractions for 621/540, 666/719, 748/415 is 1/32225580.