Greatest Common Factor of 3961/938, 7485/417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3961/938, 7485/417

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 3961/938,7485/417

Given fractions are 3961/938,7485/417

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 3961,7485

Greatest Common Factor of Numerators i.e. GCF of 3961,7485 is 1 .

LCM of Denominators means LCM of 938,417 as per the given fractions.

LCM of 938,417 is 391146 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3961,7485

GCF of Fractions 3961/938,7485/417 is 1/391146

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

Greatest Common Factor of 3961,7485 By Matching Biggest Common Factor Method

Greatest Common Factor of 3961,7485 By Matching Biggest Common Factor Method

Factors of 3961

List of positive integer factors of 3961 that divides 3961 without a remainder.

1,17,233,3961

Factors of 7485

List of positive integer factors of 7485 that divides 7485 without a remainder.

1,3,5,15,499,1497,2495,7485

Greatest Common Factor

We found the factors 3961,7485 . The biggest common factor number is the GCF number.
So the greatest common factor 3961,7485 is 1.

Lets's calculate LCM of 938,417

Given numbers has no common factors except 1. So, there LCM is their product i.e 391146

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/391146

Therefore, the GCF of Fractions 3961/938,7485/417 is 1/391146

Least Common Multiple of 938,417 with GCF Formula

Least Common Multiple of 938,417 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 938,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(938,417) = 1

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

GCF(938,417) x common factors =1 x 1 = 1

LCM(938,417) = ( 938 × 417 ) / 1

LCM(938,417) = 391146 / 1

LCM(938,417) = 391146


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 3961/938, 7485/417

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 3961/938, 7485/417?

Answer: GCF of Numerators as per given numbers 3961/938, 7485/417 is

GCF of Numerators i.e. for 3961,7485 is 1

LCM of denominators i.e. for 938,417 is 391146.

Thus, GCF of Fractions is 1/391146.Finally, GCF of Fractions for 3961/938, 7485/417 is 1/391146.