Greatest Common Factor of 101/653, 800/892, 562/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 101/653, 800/892, 562/538

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 101/653,800/892,562/538

Given fractions are 101/653,800/892,562/538

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 101,800,562

Greatest Common Factor of Numerators i.e. GCF of 101,800,562 is 1 .

LCM of Denominators means LCM of 653,892,538 as per the given fractions.

LCM of 653,892,538 is 156686044 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 101,800,562

GCF of Fractions 101/653,800/892,562/538 is 1/156686044

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

Greatest Common Factor of 101,800,562 By Matching Biggest Common Factor Method

Greatest Common Factor of 101,800,562 By Matching Biggest Common Factor Method

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Greatest Common Factor

We found the factors 101,800,562 . The biggest common factor number is the GCF number.
So the greatest common factor 101,800,562 is 1.

Lets's calculate LCM of 653,892,538

2 653, 892, 538
653, 446, 269

∴ So the LCM of the given numbers is 2 x 653 x 446 x 269 = 156686044

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/156686044

Therefore, the GCF of Fractions 101/653,800/892,562/538 is 1/156686044

Least Common Multiple of 653,892,538 with GCF Formula

Least Common Multiple of 653,892,538 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 653,892,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(653,892,538) = 1

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

GCF(653,892,538) x common factors =1 x 2 = 2

LCM(653,892,538) = ( 653 × 892 × 538 ) / 2

LCM(653,892,538) = 313372088 / 2

LCM(653,892,538) = 156686044


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 101/653, 800/892, 562/538

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 101/653, 800/892, 562/538?

Answer: GCF of Numerators as per given numbers 101/653, 800/892, 562/538 is

GCF of Numerators i.e. for 101,800,562 is 1

LCM of denominators i.e. for 653,892,538 is 156686044.

Thus, GCF of Fractions is 1/156686044.Finally, GCF of Fractions for 101/653, 800/892, 562/538 is 1/156686044.