Greatest Common Factor of 4215/96, 1361/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4215/96, 1361/920

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 4215/96,1361/920

Given fractions are 4215/96,1361/920

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 4215,1361

Greatest Common Factor of Numerators i.e. GCF of 4215,1361 is 1 .

LCM of Denominators means LCM of 96,920 as per the given fractions.

LCM of 96,920 is 11040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4215,1361

GCF of Fractions 4215/96,1361/920 is 1/11040

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

Greatest Common Factor of 4215,1361 By Matching Biggest Common Factor Method

Greatest Common Factor of 4215,1361 By Matching Biggest Common Factor Method

Factors of 4215

List of positive integer factors of 4215 that divides 4215 without a remainder.

1,3,5,15,281,843,1405,4215

Factors of 1361

List of positive integer factors of 1361 that divides 1361 without a remainder.

1,1361

Greatest Common Factor

We found the factors 4215,1361 . The biggest common factor number is the GCF number.
So the greatest common factor 4215,1361 is 1.

Lets's calculate LCM of 96,920

2 96, 920
2 48, 460
2 24, 230
12, 115

∴ So the LCM of the given numbers is 2 x 2 x 2 x 12 x 115 = 11040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11040

Therefore, the GCF of Fractions 4215/96,1361/920 is 1/11040

Least Common Multiple of 96,920 with GCF Formula

Least Common Multiple of 96,920 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 96,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,920) = 8

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

GCF(96,920) x common factors =8 x 1 = 8

LCM(96,920) = ( 96 × 920 ) / 8

LCM(96,920) = 88320 / 8

LCM(96,920) = 11040


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 4215/96, 1361/920

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 4215/96, 1361/920?

Answer: GCF of Numerators as per given numbers 4215/96, 1361/920 is

GCF of Numerators i.e. for 4215,1361 is 1

LCM of denominators i.e. for 96,920 is 11040.

Thus, GCF of Fractions is 1/11040.Finally, GCF of Fractions for 4215/96, 1361/920 is 1/11040.