Greatest Common Factor of 653/503, 630/536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 653/503, 630/536

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 653/503,630/536

Given fractions are 653/503,630/536

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 653,630

Greatest Common Factor of Numerators i.e. GCF of 653,630 is 1 .

LCM of Denominators means LCM of 503,536 as per the given fractions.

LCM of 503,536 is 269608 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 653,630

GCF of Fractions 653/503,630/536 is 1/269608

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

Greatest Common Factor of 653,630 By Matching Biggest Common Factor Method

Greatest Common Factor of 653,630 By Matching Biggest Common Factor Method

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Greatest Common Factor

We found the factors 653,630 . The biggest common factor number is the GCF number.
So the greatest common factor 653,630 is 1.

Lets's calculate LCM of 503,536

Given numbers has no common factors except 1. So, there LCM is their product i.e 269608

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/269608

Therefore, the GCF of Fractions 653/503,630/536 is 1/269608

Least Common Multiple of 503,536 with GCF Formula

Least Common Multiple of 503,536 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 503,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(503,536) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(503,536) x common factors =1 x 1 = 1

LCM(503,536) = ( 503 × 536 ) / 1

LCM(503,536) = 269608 / 1

LCM(503,536) = 269608


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 653/503, 630/536

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 653/503, 630/536?

Answer: GCF of Numerators as per given numbers 653/503, 630/536 is

GCF of Numerators i.e. for 653,630 is 1

LCM of denominators i.e. for 503,536 is 269608.

Thus, GCF of Fractions is 1/269608.Finally, GCF of Fractions for 653/503, 630/536 is 1/269608.