Greatest Common Factor of 5195/77, 9655/527

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5195/77, 9655/527

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 5195/77,9655/527

Given fractions are 5195/77,9655/527

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 5195,9655

Greatest Common Factor of Numerators i.e. GCF of 5195,9655 is 5 .

LCM of Denominators means LCM of 77,527 as per the given fractions.

LCM of 77,527 is 40579 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5195,9655

GCF of Fractions 5195/77,9655/527 is 5/40579

5 5195, 9655
1039, 1931

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 5195,9655 By Matching Biggest Common Factor Method

Greatest Common Factor of 5195,9655 By Matching Biggest Common Factor Method

Factors of 5195

List of positive integer factors of 5195 that divides 5195 without a remainder.

1,5,1039,5195

Factors of 9655

List of positive integer factors of 9655 that divides 9655 without a remainder.

1,5,1931,9655

Greatest Common Factor

We found the factors 5195,9655 . The biggest common factor number is the GCF number.
So the greatest common factor 5195,9655 is 5.

Lets's calculate LCM of 77,527

Given numbers has no common factors except 1. So, there LCM is their product i.e 40579

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/40579

Therefore, the GCF of Fractions 5195/77,9655/527 is 5/40579

Least Common Multiple of 77,527 with GCF Formula

Least Common Multiple of 77,527 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 77,527 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,527) = 1

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

GCF(77,527) x common factors =1 x 1 = 1

LCM(77,527) = ( 77 × 527 ) / 1

LCM(77,527) = 40579 / 1

LCM(77,527) = 40579


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 5195/77, 9655/527

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 5195/77, 9655/527?

Answer: GCF of Numerators as per given numbers 5195/77, 9655/527 is

GCF of Numerators i.e. for 5195,9655 is 5

LCM of denominators i.e. for 77,527 is 40579.

Thus, GCF of Fractions is 5/40579.Finally, GCF of Fractions for 5195/77, 9655/527 is 5/40579.