Greatest Common Factor of 1885/77, 3121/977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 1885/77, 3121/977

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 1885/77,3121/977

Given fractions are 1885/77,3121/977

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 1885,3121

Greatest Common Factor of Numerators i.e. GCF of 1885,3121 is 1 .

LCM of Denominators means LCM of 77,977 as per the given fractions.

LCM of 77,977 is 75229 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1885,3121

GCF of Fractions 1885/77,3121/977 is 1/75229

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

Greatest Common Factor of 1885,3121 By Matching Biggest Common Factor Method

Greatest Common Factor of 1885,3121 By Matching Biggest Common Factor Method

Factors of 1885

List of positive integer factors of 1885 that divides 1885 without a remainder.

1,5,13,29,65,145,377,1885

Factors of 3121

List of positive integer factors of 3121 that divides 3121 without a remainder.

1,3121

Greatest Common Factor

We found the factors 1885,3121 . The biggest common factor number is the GCF number.
So the greatest common factor 1885,3121 is 1.


Lets's calculate LCM of 77,977

Given numbers has no common factors except 1. So, there LCM is their product i.e 75229

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75229

Therefore, the GCF of Fractions 1885/77,3121/977 is 1/75229

Least Common Multiple of 77,977 with GCF Formula

Least Common Multiple of 77,977 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 77,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,977) = 1

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

GCF(77,977) x common factors =1 x 1 = 1

LCM(77,977) = ( 77 × 977 ) / 1

LCM(77,977) = 75229 / 1

LCM(77,977) = 75229


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 1885/77, 3121/977

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 1885/77, 3121/977?

Answer: GCF of Numerators as per given numbers 1885/77, 3121/977 is

GCF of Numerators i.e. for 1885,3121 is 1

LCM of denominators i.e. for 77,977 is 75229.

Thus, GCF of Fractions is 1/75229.Finally, GCF of Fractions for 1885/77, 3121/977 is 1/75229.