Greatest Common Factor of 995/84, 215/11, 595/101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 995/84, 215/11, 595/101

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 995/84,215/11,595/101

Given fractions are 995/84,215/11,595/101

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 995,215,595

Greatest Common Factor of Numerators i.e. GCF of 995,215,595 is 5 .

LCM of Denominators means LCM of 84,11,101 as per the given fractions.

LCM of 84,11,101 is 93324 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 995,215,595

GCF of Fractions 995/84,215/11,595/101 is 5/93324

5 995, 215, 595
199, 43, 119

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 995,215,595 By Matching Biggest Common Factor Method

Greatest Common Factor of 995,215,595 By Matching Biggest Common Factor Method

Factors of 995

List of positive integer factors of 995 that divides 995 without a remainder.

1,5,199,995

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Greatest Common Factor

We found the factors 995,215,595 . The biggest common factor number is the GCF number.
So the greatest common factor 995,215,595 is 5.

Lets's calculate LCM of 84,11,101

Given numbers has no common factors except 1. So, there LCM is their product i.e 93324

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/93324

Therefore, the GCF of Fractions 995/84,215/11,595/101 is 5/93324

Least Common Multiple of 84,11,101 with GCF Formula

Least Common Multiple of 84,11,101 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 84,11,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,11,101) = 1

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

GCF(84,11,101) x common factors =1 x 1 = 1

LCM(84,11,101) = ( 84 × 11 × 101 ) / 1

LCM(84,11,101) = 93324 / 1

LCM(84,11,101) = 93324


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 995/84, 215/11, 595/101

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 995/84, 215/11, 595/101?

Answer: GCF of Numerators as per given numbers 995/84, 215/11, 595/101 is

GCF of Numerators i.e. for 995,215,595 is 5

LCM of denominators i.e. for 84,11,101 is 93324.

Thus, GCF of Fractions is 5/93324.Finally, GCF of Fractions for 995/84, 215/11, 595/101 is 5/93324.