Greatest Common Factor of 4765/938, 2154/4462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4765/938, 2154/4462

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 4765/938,2154/4462

Given fractions are 4765/938,2154/4462

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 4765,2154

Greatest Common Factor of Numerators i.e. GCF of 4765,2154 is 1 .

LCM of Denominators means LCM of 938,4462 as per the given fractions.

LCM of 938,4462 is 2092678 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4765,2154

GCF of Fractions 4765/938,2154/4462 is 1/2092678

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

Greatest Common Factor of 4765,2154 By Matching Biggest Common Factor Method

Greatest Common Factor of 4765,2154 By Matching Biggest Common Factor Method

Factors of 4765

List of positive integer factors of 4765 that divides 4765 without a remainder.

1,5,953,4765

Factors of 2154

List of positive integer factors of 2154 that divides 2154 without a remainder.

1,2,3,6,359,718,1077,2154

Greatest Common Factor

We found the factors 4765,2154 . The biggest common factor number is the GCF number.
So the greatest common factor 4765,2154 is 1.

Lets's calculate LCM of 938,4462

2 938, 4462
469, 2231

∴ So the LCM of the given numbers is 2 x 469 x 2231 = 2092678

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2092678

Therefore, the GCF of Fractions 4765/938,2154/4462 is 1/2092678

Least Common Multiple of 938,4462 with GCF Formula

Least Common Multiple of 938,4462 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 938,4462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(938,4462) = 2

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

GCF(938,4462) x common factors =2 x 1 = 2

LCM(938,4462) = ( 938 × 4462 ) / 2

LCM(938,4462) = 4185356 / 2

LCM(938,4462) = 2092678


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 4765/938, 2154/4462

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 4765/938, 2154/4462?

Answer: GCF of Numerators as per given numbers 4765/938, 2154/4462 is

GCF of Numerators i.e. for 4765,2154 is 1

LCM of denominators i.e. for 938,4462 is 2092678.

Thus, GCF of Fractions is 1/2092678.Finally, GCF of Fractions for 4765/938, 2154/4462 is 1/2092678.