Greatest Common Factor of 43/922, 60/932, 860/520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 43/922, 60/932, 860/520

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 43/922,60/932,860/520

Given fractions are 43/922,60/932,860/520

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 43,60,860

Greatest Common Factor of Numerators i.e. GCF of 43,60,860 is 1 .

LCM of Denominators means LCM of 922,932,520 as per the given fractions.

LCM of 922,932,520 is 55854760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 43,60,860

GCF of Fractions 43/922,60/932,860/520 is 1/55854760

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

Greatest Common Factor of 43,60,860 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,60,860 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Greatest Common Factor

We found the factors 43,60,860 . The biggest common factor number is the GCF number.
So the greatest common factor 43,60,860 is 1.

Lets's calculate LCM of 922,932,520

2 922, 932, 520
2 461, 466, 260
461, 233, 130

∴ So the LCM of the given numbers is 2 x 2 x 461 x 233 x 130 = 55854760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55854760

Therefore, the GCF of Fractions 43/922,60/932,860/520 is 1/55854760

Least Common Multiple of 922,932,520 with GCF Formula

Least Common Multiple of 922,932,520 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 922,932,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(922,932,520) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(922,932,520) x common factors =2 x 4 = 8

LCM(922,932,520) = ( 922 × 932 × 520 ) / 8

LCM(922,932,520) = 446838080 / 8

LCM(922,932,520) = 55854760


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 43/922, 60/932, 860/520

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 43/922, 60/932, 860/520?

Answer: GCF of Numerators as per given numbers 43/922, 60/932, 860/520 is

GCF of Numerators i.e. for 43,60,860 is 1

LCM of denominators i.e. for 922,932,520 is 55854760.

Thus, GCF of Fractions is 1/55854760.Finally, GCF of Fractions for 43/922, 60/932, 860/520 is 1/55854760.