Greatest Common Factor of 822/15, 872/60, 615/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 822/15, 872/60, 615/428

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 822/15,872/60,615/428

Given fractions are 822/15,872/60,615/428

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 822,872,615

Greatest Common Factor of Numerators i.e. GCF of 822,872,615 is 1 .

LCM of Denominators means LCM of 15,60,428 as per the given fractions.

LCM of 15,60,428 is 6420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 822,872,615

GCF of Fractions 822/15,872/60,615/428 is 1/6420

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

Greatest Common Factor of 822,872,615 By Matching Biggest Common Factor Method

Greatest Common Factor of 822,872,615 By Matching Biggest Common Factor Method

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Greatest Common Factor

We found the factors 822,872,615 . The biggest common factor number is the GCF number.
So the greatest common factor 822,872,615 is 1.

Lets's calculate LCM of 15,60,428

2 15, 60, 428
2 15, 30, 214
3 15, 15, 107
5 5, 5, 107
1, 1, 107

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 1 x 107 = 6420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6420

Therefore, the GCF of Fractions 822/15,872/60,615/428 is 1/6420

Least Common Multiple of 15,60,428 with GCF Formula

Least Common Multiple of 15,60,428 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 15,60,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,60,428) = 1

common factors(in case of two or more numbers have common factors) = 60

GCF(15,60,428) x common factors =1 x 60 = 60

LCM(15,60,428) = ( 15 × 60 × 428 ) / 60

LCM(15,60,428) = 385200 / 60

LCM(15,60,428) = 6420


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 822/15, 872/60, 615/428

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 822/15, 872/60, 615/428?

Answer: GCF of Numerators as per given numbers 822/15, 872/60, 615/428 is

GCF of Numerators i.e. for 822,872,615 is 1

LCM of denominators i.e. for 15,60,428 is 6420.

Thus, GCF of Fractions is 1/6420.Finally, GCF of Fractions for 822/15, 872/60, 615/428 is 1/6420.