Greatest Common Factor of 7416/885, 5299/196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7416/885, 5299/196

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 7416/885,5299/196

Given fractions are 7416/885,5299/196

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 7416,5299

Greatest Common Factor of Numerators i.e. GCF of 7416,5299 is 1 .

LCM of Denominators means LCM of 885,196 as per the given fractions.

LCM of 885,196 is 173460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7416,5299

GCF of Fractions 7416/885,5299/196 is 1/173460

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

Greatest Common Factor of 7416,5299 By Matching Biggest Common Factor Method

Greatest Common Factor of 7416,5299 By Matching Biggest Common Factor Method

Factors of 7416

List of positive integer factors of 7416 that divides 7416 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,103,206,309,412,618,824,927,1236,1854,2472,3708,7416

Factors of 5299

List of positive integer factors of 5299 that divides 5299 without a remainder.

1,7,757,5299

Greatest Common Factor

We found the factors 7416,5299 . The biggest common factor number is the GCF number.
So the greatest common factor 7416,5299 is 1.

Lets's calculate LCM of 885,196

Given numbers has no common factors except 1. So, there LCM is their product i.e 173460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/173460

Therefore, the GCF of Fractions 7416/885,5299/196 is 1/173460

Least Common Multiple of 885,196 with GCF Formula

Least Common Multiple of 885,196 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 885,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(885,196) = 1

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

GCF(885,196) x common factors =1 x 1 = 1

LCM(885,196) = ( 885 × 196 ) / 1

LCM(885,196) = 173460 / 1

LCM(885,196) = 173460


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 7416/885, 5299/196

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 7416/885, 5299/196?

Answer: GCF of Numerators as per given numbers 7416/885, 5299/196 is

GCF of Numerators i.e. for 7416,5299 is 1

LCM of denominators i.e. for 885,196 is 173460.

Thus, GCF of Fractions is 1/173460.Finally, GCF of Fractions for 7416/885, 5299/196 is 1/173460.