Greatest Common Factor of 3898/732, 7928/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3898/732, 7928/742

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 3898/732,7928/742

Given fractions are 3898/732,7928/742

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 3898,7928

Greatest Common Factor of Numerators i.e. GCF of 3898,7928 is 2 .

LCM of Denominators means LCM of 732,742 as per the given fractions.

LCM of 732,742 is 271572 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3898,7928

GCF of Fractions 3898/732,7928/742 is 2/271572

2 3898, 7928
1949, 3964

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3898,7928 By Matching Biggest Common Factor Method

Greatest Common Factor of 3898,7928 By Matching Biggest Common Factor Method

Factors of 3898

List of positive integer factors of 3898 that divides 3898 without a remainder.

1,2,1949,3898

Factors of 7928

List of positive integer factors of 7928 that divides 7928 without a remainder.

1,2,4,8,991,1982,3964,7928

Greatest Common Factor

We found the factors 3898,7928 . The biggest common factor number is the GCF number.
So the greatest common factor 3898,7928 is 2.

Lets's calculate LCM of 732,742

2 732, 742
366, 371

∴ So the LCM of the given numbers is 2 x 366 x 371 = 271572

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/271572

Therefore, the GCF of Fractions 3898/732,7928/742 is 2/271572

Least Common Multiple of 732,742 with GCF Formula

Least Common Multiple of 732,742 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 732,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,742) = 2

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

GCF(732,742) x common factors =2 x 1 = 2

LCM(732,742) = ( 732 × 742 ) / 2

LCM(732,742) = 543144 / 2

LCM(732,742) = 271572


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 3898/732, 7928/742

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 3898/732, 7928/742?

Answer: GCF of Numerators as per given numbers 3898/732, 7928/742 is

GCF of Numerators i.e. for 3898,7928 is 2

LCM of denominators i.e. for 732,742 is 271572.

Thus, GCF of Fractions is 2/271572.Finally, GCF of Fractions for 3898/732, 7928/742 is 2/271572.