Greatest Common Factor of 4377/310, 6913/1975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4377/310, 6913/1975

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 4377/310,6913/1975

Given fractions are 4377/310,6913/1975

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 4377,6913

Greatest Common Factor of Numerators i.e. GCF of 4377,6913 is 1 .

LCM of Denominators means LCM of 310,1975 as per the given fractions.

LCM of 310,1975 is 122450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4377,6913

GCF of Fractions 4377/310,6913/1975 is 1/122450

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

Greatest Common Factor of 4377,6913 By Matching Biggest Common Factor Method

Greatest Common Factor of 4377,6913 By Matching Biggest Common Factor Method

Factors of 4377

List of positive integer factors of 4377 that divides 4377 without a remainder.

1,3,1459,4377

Factors of 6913

List of positive integer factors of 6913 that divides 6913 without a remainder.

1,31,223,6913

Greatest Common Factor

We found the factors 4377,6913 . The biggest common factor number is the GCF number.
So the greatest common factor 4377,6913 is 1.

Lets's calculate LCM of 310,1975

5 310, 1975
62, 395

∴ So the LCM of the given numbers is 5 x 62 x 395 = 122450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/122450

Therefore, the GCF of Fractions 4377/310,6913/1975 is 1/122450

Least Common Multiple of 310,1975 with GCF Formula

Least Common Multiple of 310,1975 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 310,1975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,1975) = 5

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

GCF(310,1975) x common factors =5 x 1 = 5

LCM(310,1975) = ( 310 × 1975 ) / 5

LCM(310,1975) = 612250 / 5

LCM(310,1975) = 122450


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 4377/310, 6913/1975

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 4377/310, 6913/1975?

Answer: GCF of Numerators as per given numbers 4377/310, 6913/1975 is

GCF of Numerators i.e. for 4377,6913 is 1

LCM of denominators i.e. for 310,1975 is 122450.

Thus, GCF of Fractions is 1/122450.Finally, GCF of Fractions for 4377/310, 6913/1975 is 1/122450.