Greatest Common Factor of 1565/157, 8660/977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1565/157, 8660/977

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 1565/157,8660/977

Given fractions are 1565/157,8660/977

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 1565,8660

Greatest Common Factor of Numerators i.e. GCF of 1565,8660 is 5 .

LCM of Denominators means LCM of 157,977 as per the given fractions.

LCM of 157,977 is 153389 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1565,8660

GCF of Fractions 1565/157,8660/977 is 5/153389

5 1565, 8660
313, 1732

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

Greatest Common Factor of 1565,8660 By Matching Biggest Common Factor Method

Greatest Common Factor of 1565,8660 By Matching Biggest Common Factor Method

Factors of 1565

List of positive integer factors of 1565 that divides 1565 without a remainder.

1,5,313,1565

Factors of 8660

List of positive integer factors of 8660 that divides 8660 without a remainder.

1,2,4,5,10,20,433,866,1732,2165,4330,8660

Greatest Common Factor

We found the factors 1565,8660 . The biggest common factor number is the GCF number.
So the greatest common factor 1565,8660 is 5.

Lets's calculate LCM of 157,977

Given numbers has no common factors except 1. So, there LCM is their product i.e 153389

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/153389

Therefore, the GCF of Fractions 1565/157,8660/977 is 5/153389

Least Common Multiple of 157,977 with GCF Formula

Least Common Multiple of 157,977 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 157,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(157,977) = 1

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

GCF(157,977) x common factors =1 x 1 = 1

LCM(157,977) = ( 157 × 977 ) / 1

LCM(157,977) = 153389 / 1

LCM(157,977) = 153389


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 1565/157, 8660/977

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 1565/157, 8660/977?

Answer: GCF of Numerators as per given numbers 1565/157, 8660/977 is

GCF of Numerators i.e. for 1565,8660 is 5

LCM of denominators i.e. for 157,977 is 153389.

Thus, GCF of Fractions is 5/153389.Finally, GCF of Fractions for 1565/157, 8660/977 is 5/153389.