Greatest Common Factor of 820/57, 142/44, 633/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 820/57, 142/44, 633/270

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 820/57,142/44,633/270

Given fractions are 820/57,142/44,633/270

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 820,142,633

Greatest Common Factor of Numerators i.e. GCF of 820,142,633 is 1 .

LCM of Denominators means LCM of 57,44,270 as per the given fractions.

LCM of 57,44,270 is 112860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 820,142,633

GCF of Fractions 820/57,142/44,633/270 is 1/112860

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

Greatest Common Factor of 820,142,633 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,142,633 By Matching Biggest Common Factor Method

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Greatest Common Factor

We found the factors 820,142,633 . The biggest common factor number is the GCF number.
So the greatest common factor 820,142,633 is 1.

Lets's calculate LCM of 57,44,270

2 57, 44, 270
3 57, 22, 135
19, 22, 45

∴ So the LCM of the given numbers is 2 x 3 x 19 x 22 x 45 = 112860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/112860

Therefore, the GCF of Fractions 820/57,142/44,633/270 is 1/112860

Least Common Multiple of 57,44,270 with GCF Formula

Least Common Multiple of 57,44,270 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 57,44,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,44,270) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(57,44,270) x common factors =1 x 6 = 6

LCM(57,44,270) = ( 57 × 44 × 270 ) / 6

LCM(57,44,270) = 677160 / 6

LCM(57,44,270) = 112860


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 820/57, 142/44, 633/270

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 820/57, 142/44, 633/270?

Answer: GCF of Numerators as per given numbers 820/57, 142/44, 633/270 is

GCF of Numerators i.e. for 820,142,633 is 1

LCM of denominators i.e. for 57,44,270 is 112860.

Thus, GCF of Fractions is 1/112860.Finally, GCF of Fractions for 820/57, 142/44, 633/270 is 1/112860.