Greatest Common Factor of 992/60, 787/61, 820/74

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 992/60, 787/61, 820/74

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 992/60,787/61,820/74

Given fractions are 992/60,787/61,820/74

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 992,787,820

Greatest Common Factor of Numerators i.e. GCF of 992,787,820 is 1 .

LCM of Denominators means LCM of 60,61,74 as per the given fractions.

LCM of 60,61,74 is 135420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 992,787,820

GCF of Fractions 992/60,787/61,820/74 is 1/135420

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

Greatest Common Factor of 992,787,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 992,787,820 By Matching Biggest Common Factor Method

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1,787

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

Greatest Common Factor

We found the factors 992,787,820 . The biggest common factor number is the GCF number.
So the greatest common factor 992,787,820 is 1.

Lets's calculate LCM of 60,61,74

2 60, 61, 74
30, 61, 37

∴ So the LCM of the given numbers is 2 x 30 x 61 x 37 = 135420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/135420

Therefore, the GCF of Fractions 992/60,787/61,820/74 is 1/135420

Least Common Multiple of 60,61,74 with GCF Formula

Least Common Multiple of 60,61,74 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 60,61,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,61,74) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(60,61,74) x common factors =1 x 2 = 2

LCM(60,61,74) = ( 60 × 61 × 74 ) / 2

LCM(60,61,74) = 270840 / 2

LCM(60,61,74) = 135420


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 992/60, 787/61, 820/74

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 992/60, 787/61, 820/74?

Answer: GCF of Numerators as per given numbers 992/60, 787/61, 820/74 is

GCF of Numerators i.e. for 992,787,820 is 1

LCM of denominators i.e. for 60,61,74 is 135420.

Thus, GCF of Fractions is 1/135420.Finally, GCF of Fractions for 992/60, 787/61, 820/74 is 1/135420.