Greatest Common Factor of 8781/75, 4948/358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8781/75, 4948/358

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 8781/75,4948/358

Given fractions are 8781/75,4948/358

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 8781,4948

Greatest Common Factor of Numerators i.e. GCF of 8781,4948 is 1 .

LCM of Denominators means LCM of 75,358 as per the given fractions.

LCM of 75,358 is 26850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8781,4948

GCF of Fractions 8781/75,4948/358 is 1/26850

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

Greatest Common Factor of 8781,4948 By Matching Biggest Common Factor Method

Greatest Common Factor of 8781,4948 By Matching Biggest Common Factor Method

Factors of 8781

List of positive integer factors of 8781 that divides 8781 without a remainder.

1,3,2927,8781

Factors of 4948

List of positive integer factors of 4948 that divides 4948 without a remainder.

1,2,4,1237,2474,4948

Greatest Common Factor

We found the factors 8781,4948 . The biggest common factor number is the GCF number.
So the greatest common factor 8781,4948 is 1.

Lets's calculate LCM of 75,358

Given numbers has no common factors except 1. So, there LCM is their product i.e 26850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26850

Therefore, the GCF of Fractions 8781/75,4948/358 is 1/26850

Least Common Multiple of 75,358 with GCF Formula

Least Common Multiple of 75,358 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 75,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,358) = 1

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

GCF(75,358) x common factors =1 x 1 = 1

LCM(75,358) = ( 75 × 358 ) / 1

LCM(75,358) = 26850 / 1

LCM(75,358) = 26850


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 8781/75, 4948/358

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 8781/75, 4948/358?

Answer: GCF of Numerators as per given numbers 8781/75, 4948/358 is

GCF of Numerators i.e. for 8781,4948 is 1

LCM of denominators i.e. for 75,358 is 26850.

Thus, GCF of Fractions is 1/26850.Finally, GCF of Fractions for 8781/75, 4948/358 is 1/26850.