Greatest Common Factor of 3923/952, 7408/4501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3923/952, 7408/4501

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 3923/952,7408/4501

Given fractions are 3923/952,7408/4501

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 3923,7408

Greatest Common Factor of Numerators i.e. GCF of 3923,7408 is 1 .

LCM of Denominators means LCM of 952,4501 as per the given fractions.

LCM of 952,4501 is 612136 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3923,7408

GCF of Fractions 3923/952,7408/4501 is 1/612136

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

Greatest Common Factor of 3923,7408 By Matching Biggest Common Factor Method

Greatest Common Factor of 3923,7408 By Matching Biggest Common Factor Method

Factors of 3923

List of positive integer factors of 3923 that divides 3923 without a remainder.

1,3923

Factors of 7408

List of positive integer factors of 7408 that divides 7408 without a remainder.

1,2,4,8,16,463,926,1852,3704,7408

Greatest Common Factor

We found the factors 3923,7408 . The biggest common factor number is the GCF number.
So the greatest common factor 3923,7408 is 1.

Lets's calculate LCM of 952,4501

7 952, 4501
136, 643

∴ So the LCM of the given numbers is 7 x 136 x 643 = 612136

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/612136

Therefore, the GCF of Fractions 3923/952,7408/4501 is 1/612136

Least Common Multiple of 952,4501 with GCF Formula

Least Common Multiple of 952,4501 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 952,4501 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(952,4501) = 7

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

GCF(952,4501) x common factors =7 x 1 = 7

LCM(952,4501) = ( 952 × 4501 ) / 7

LCM(952,4501) = 4284952 / 7

LCM(952,4501) = 612136


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 3923/952, 7408/4501

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 3923/952, 7408/4501?

Answer: GCF of Numerators as per given numbers 3923/952, 7408/4501 is

GCF of Numerators i.e. for 3923,7408 is 1

LCM of denominators i.e. for 952,4501 is 612136.

Thus, GCF of Fractions is 1/612136.Finally, GCF of Fractions for 3923/952, 7408/4501 is 1/612136.