Greatest Common Factor of 8427/278, 4250/6516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8427/278, 4250/6516

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 8427/278,4250/6516

Given fractions are 8427/278,4250/6516

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 8427,4250

Greatest Common Factor of Numerators i.e. GCF of 8427,4250 is 1 .

LCM of Denominators means LCM of 278,6516 as per the given fractions.

LCM of 278,6516 is 905724 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8427,4250

GCF of Fractions 8427/278,4250/6516 is 1/905724

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

Greatest Common Factor of 8427,4250 By Matching Biggest Common Factor Method

Greatest Common Factor of 8427,4250 By Matching Biggest Common Factor Method

Factors of 8427

List of positive integer factors of 8427 that divides 8427 without a remainder.

1,3,53,159,2809,8427

Factors of 4250

List of positive integer factors of 4250 that divides 4250 without a remainder.

1,2,5,10,17,25,34,50,85,125,170,250,425,850,2125,4250

Greatest Common Factor

We found the factors 8427,4250 . The biggest common factor number is the GCF number.
So the greatest common factor 8427,4250 is 1.

Lets's calculate LCM of 278,6516

2 278, 6516
139, 3258

∴ So the LCM of the given numbers is 2 x 139 x 3258 = 905724

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/905724

Therefore, the GCF of Fractions 8427/278,4250/6516 is 1/905724

Least Common Multiple of 278,6516 with GCF Formula

Least Common Multiple of 278,6516 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 278,6516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(278,6516) = 2

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

GCF(278,6516) x common factors =2 x 1 = 2

LCM(278,6516) = ( 278 × 6516 ) / 2

LCM(278,6516) = 1811448 / 2

LCM(278,6516) = 905724


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 8427/278, 4250/6516

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 8427/278, 4250/6516?

Answer: GCF of Numerators as per given numbers 8427/278, 4250/6516 is

GCF of Numerators i.e. for 8427,4250 is 1

LCM of denominators i.e. for 278,6516 is 905724.

Thus, GCF of Fractions is 1/905724.Finally, GCF of Fractions for 8427/278, 4250/6516 is 1/905724.