Greatest Common Factor of 212/740, 664/676, 619/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 212/740, 664/676, 619/540

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 212/740,664/676,619/540

Given fractions are 212/740,664/676,619/540

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 212,664,619

Greatest Common Factor of Numerators i.e. GCF of 212,664,619 is 1 .

LCM of Denominators means LCM of 740,676,540 as per the given fractions.

LCM of 740,676,540 is 3376620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 212,664,619

GCF of Fractions 212/740,664/676,619/540 is 1/3376620

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

Greatest Common Factor of 212,664,619 By Matching Biggest Common Factor Method

Greatest Common Factor of 212,664,619 By Matching Biggest Common Factor Method

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Factors of 619

List of positive integer factors of 619 that divides 619 without a remainder.

1,619

Greatest Common Factor

We found the factors 212,664,619 . The biggest common factor number is the GCF number.
So the greatest common factor 212,664,619 is 1.

Lets's calculate LCM of 740,676,540

2 740, 676, 540
2 370, 338, 270
5 185, 169, 135
37, 169, 27

∴ So the LCM of the given numbers is 2 x 2 x 5 x 37 x 169 x 27 = 3376620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3376620

Therefore, the GCF of Fractions 212/740,664/676,619/540 is 1/3376620

Least Common Multiple of 740,676,540 with GCF Formula

Least Common Multiple of 740,676,540 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 740,676,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(740,676,540) = 4

common factors(in case of two or more numbers have common factors) = 20

GCF(740,676,540) x common factors =4 x 20 = 80

LCM(740,676,540) = ( 740 × 676 × 540 ) / 80

LCM(740,676,540) = 270129600 / 80

LCM(740,676,540) = 3376620


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 212/740, 664/676, 619/540

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 212/740, 664/676, 619/540?

Answer: GCF of Numerators as per given numbers 212/740, 664/676, 619/540 is

GCF of Numerators i.e. for 212,664,619 is 1

LCM of denominators i.e. for 740,676,540 is 3376620.

Thus, GCF of Fractions is 1/3376620.Finally, GCF of Fractions for 212/740, 664/676, 619/540 is 1/3376620.