Greatest Common Factor of 84/72, 77/67, 112/217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 84/72, 77/67, 112/217

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 84/72,77/67,112/217

Given fractions are 84/72,77/67,112/217

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 84,77,112

Greatest Common Factor of Numerators i.e. GCF of 84,77,112 is 7 .

LCM of Denominators means LCM of 72,67,217 as per the given fractions.

LCM of 72,67,217 is 1046808 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 84,77,112

GCF of Fractions 84/72,77/67,112/217 is 7/1046808

7 84, 77, 112
12, 11, 16

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 84,77,112 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,77,112 By Matching Biggest Common Factor Method

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 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Greatest Common Factor

We found the factors 84,77,112 . The biggest common factor number is the GCF number.
So the greatest common factor 84,77,112 is 7.

Lets's calculate LCM of 72,67,217

Given numbers has no common factors except 1. So, there LCM is their product i.e 1046808

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1046808

Therefore, the GCF of Fractions 84/72,77/67,112/217 is 7/1046808

Least Common Multiple of 72,67,217 with GCF Formula

Least Common Multiple of 72,67,217 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 72,67,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,67,217) = 1

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

GCF(72,67,217) x common factors =1 x 1 = 1

LCM(72,67,217) = ( 72 × 67 × 217 ) / 1

LCM(72,67,217) = 1046808 / 1

LCM(72,67,217) = 1046808


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 84/72, 77/67, 112/217

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 84/72, 77/67, 112/217?

Answer: GCF of Numerators as per given numbers 84/72, 77/67, 112/217 is

GCF of Numerators i.e. for 84,77,112 is 7

LCM of denominators i.e. for 72,67,217 is 1046808.

Thus, GCF of Fractions is 7/1046808.Finally, GCF of Fractions for 84/72, 77/67, 112/217 is 7/1046808.