Greatest Common Factor of 500/54, 995/88, 707/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 500/54, 995/88, 707/840

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 500/54,995/88,707/840

Given fractions are 500/54,995/88,707/840

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 500,995,707

Greatest Common Factor of Numerators i.e. GCF of 500,995,707 is 1 .

LCM of Denominators means LCM of 54,88,840 as per the given fractions.

LCM of 54,88,840 is 83160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 500,995,707

GCF of Fractions 500/54,995/88,707/840 is 1/83160

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

Greatest Common Factor of 500,995,707 By Matching Biggest Common Factor Method

Greatest Common Factor of 500,995,707 By Matching Biggest Common Factor Method

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 995

List of positive integer factors of 995 that divides 995 without a remainder.

1,5,199,995

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Greatest Common Factor

We found the factors 500,995,707 . The biggest common factor number is the GCF number.
So the greatest common factor 500,995,707 is 1.

Lets's calculate LCM of 54,88,840

2 54, 88, 840
2 27, 44, 420
2 27, 22, 210
3 27, 11, 105
9, 11, 35

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 9 x 11 x 35 = 83160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83160

Therefore, the GCF of Fractions 500/54,995/88,707/840 is 1/83160

Least Common Multiple of 54,88,840 with GCF Formula

Least Common Multiple of 54,88,840 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 54,88,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,88,840) = 2

common factors(in case of two or more numbers have common factors) = 24

GCF(54,88,840) x common factors =2 x 24 = 48

LCM(54,88,840) = ( 54 × 88 × 840 ) / 48

LCM(54,88,840) = 3991680 / 48

LCM(54,88,840) = 83160


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 500/54, 995/88, 707/840

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 500/54, 995/88, 707/840?

Answer: GCF of Numerators as per given numbers 500/54, 995/88, 707/840 is

GCF of Numerators i.e. for 500,995,707 is 1

LCM of denominators i.e. for 54,88,840 is 83160.

Thus, GCF of Fractions is 1/83160.Finally, GCF of Fractions for 500/54, 995/88, 707/840 is 1/83160.