Greatest Common Factor of 2416/72, 8567/842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2416/72, 8567/842

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 2416/72,8567/842

Given fractions are 2416/72,8567/842

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 2416,8567

Greatest Common Factor of Numerators i.e. GCF of 2416,8567 is 1 .

LCM of Denominators means LCM of 72,842 as per the given fractions.

LCM of 72,842 is 30312 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2416,8567

GCF of Fractions 2416/72,8567/842 is 1/30312

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

Greatest Common Factor of 2416,8567 By Matching Biggest Common Factor Method

Greatest Common Factor of 2416,8567 By Matching Biggest Common Factor Method

Factors of 2416

List of positive integer factors of 2416 that divides 2416 without a remainder.

1,2,4,8,16,151,302,604,1208,2416

Factors of 8567

List of positive integer factors of 8567 that divides 8567 without a remainder.

1,13,659,8567

Greatest Common Factor

We found the factors 2416,8567 . The biggest common factor number is the GCF number.
So the greatest common factor 2416,8567 is 1.

Lets's calculate LCM of 72,842

2 72, 842
36, 421

∴ So the LCM of the given numbers is 2 x 36 x 421 = 30312

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30312

Therefore, the GCF of Fractions 2416/72,8567/842 is 1/30312

Least Common Multiple of 72,842 with GCF Formula

Least Common Multiple of 72,842 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 72,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,842) = 2

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

GCF(72,842) x common factors =2 x 1 = 2

LCM(72,842) = ( 72 × 842 ) / 2

LCM(72,842) = 60624 / 2

LCM(72,842) = 30312


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 2416/72, 8567/842

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 2416/72, 8567/842?

Answer: GCF of Numerators as per given numbers 2416/72, 8567/842 is

GCF of Numerators i.e. for 2416,8567 is 1

LCM of denominators i.e. for 72,842 is 30312.

Thus, GCF of Fractions is 1/30312.Finally, GCF of Fractions for 2416/72, 8567/842 is 1/30312.