Greatest Common Factor of 9785/53, 7561/563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9785/53, 7561/563

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 9785/53,7561/563

Given fractions are 9785/53,7561/563

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 9785,7561

Greatest Common Factor of Numerators i.e. GCF of 9785,7561 is 1 .

LCM of Denominators means LCM of 53,563 as per the given fractions.

LCM of 53,563 is 29839 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9785,7561

GCF of Fractions 9785/53,7561/563 is 1/29839

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

Greatest Common Factor of 9785,7561 By Matching Biggest Common Factor Method

Greatest Common Factor of 9785,7561 By Matching Biggest Common Factor Method

Factors of 9785

List of positive integer factors of 9785 that divides 9785 without a remainder.

1,5,19,95,103,515,1957,9785

Factors of 7561

List of positive integer factors of 7561 that divides 7561 without a remainder.

1,7561

Greatest Common Factor

We found the factors 9785,7561 . The biggest common factor number is the GCF number.
So the greatest common factor 9785,7561 is 1.

Lets's calculate LCM of 53,563

Given numbers has no common factors except 1. So, there LCM is their product i.e 29839

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29839

Therefore, the GCF of Fractions 9785/53,7561/563 is 1/29839

Least Common Multiple of 53,563 with GCF Formula

Least Common Multiple of 53,563 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 53,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,563) = 1

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

GCF(53,563) x common factors =1 x 1 = 1

LCM(53,563) = ( 53 × 563 ) / 1

LCM(53,563) = 29839 / 1

LCM(53,563) = 29839


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 9785/53, 7561/563

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 9785/53, 7561/563?

Answer: GCF of Numerators as per given numbers 9785/53, 7561/563 is

GCF of Numerators i.e. for 9785,7561 is 1

LCM of denominators i.e. for 53,563 is 29839.

Thus, GCF of Fractions is 1/29839.Finally, GCF of Fractions for 9785/53, 7561/563 is 1/29839.