Greatest Common Factor of 95/56, 84/95, 297/219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 95/56, 84/95, 297/219

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 95/56,84/95,297/219

Given fractions are 95/56,84/95,297/219

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 95,84,297

Greatest Common Factor of Numerators i.e. GCF of 95,84,297 is 1 .

LCM of Denominators means LCM of 56,95,219 as per the given fractions.

LCM of 56,95,219 is 1165080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 95,84,297

GCF of Fractions 95/56,84/95,297/219 is 1/1165080

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

Greatest Common Factor of 95,84,297 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,84,297 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Greatest Common Factor

We found the factors 95,84,297 . The biggest common factor number is the GCF number.
So the greatest common factor 95,84,297 is 1.

Lets's calculate LCM of 56,95,219

Given numbers has no common factors except 1. So, there LCM is their product i.e 1165080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1165080

Therefore, the GCF of Fractions 95/56,84/95,297/219 is 1/1165080

Least Common Multiple of 56,95,219 with GCF Formula

Least Common Multiple of 56,95,219 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 56,95,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,95,219) = 1

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

GCF(56,95,219) x common factors =1 x 1 = 1

LCM(56,95,219) = ( 56 × 95 × 219 ) / 1

LCM(56,95,219) = 1165080 / 1

LCM(56,95,219) = 1165080


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 95/56, 84/95, 297/219

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 95/56, 84/95, 297/219?

Answer: GCF of Numerators as per given numbers 95/56, 84/95, 297/219 is

GCF of Numerators i.e. for 95,84,297 is 1

LCM of denominators i.e. for 56,95,219 is 1165080.

Thus, GCF of Fractions is 1/1165080.Finally, GCF of Fractions for 95/56, 84/95, 297/219 is 1/1165080.