Greatest Common Factor of 83/113, 77/138, 917/416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 83/113, 77/138, 917/416

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 83/113,77/138,917/416

Given fractions are 83/113,77/138,917/416

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 83,77,917

Greatest Common Factor of Numerators i.e. GCF of 83,77,917 is 1 .

LCM of Denominators means LCM of 113,138,416 as per the given fractions.

LCM of 113,138,416 is 3243552 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 83,77,917

GCF of Fractions 83/113,77/138,917/416 is 1/3243552

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

Greatest Common Factor of 83,77,917 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,77,917 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 77

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

1,7,11,77

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Greatest Common Factor

We found the factors 83,77,917 . The biggest common factor number is the GCF number.
So the greatest common factor 83,77,917 is 1.

Lets's calculate LCM of 113,138,416

2 113, 138, 416
113, 69, 208

∴ So the LCM of the given numbers is 2 x 113 x 69 x 208 = 3243552

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3243552

Therefore, the GCF of Fractions 83/113,77/138,917/416 is 1/3243552

Least Common Multiple of 113,138,416 with GCF Formula

Least Common Multiple of 113,138,416 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 113,138,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(113,138,416) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(113,138,416) x common factors =1 x 2 = 2

LCM(113,138,416) = ( 113 × 138 × 416 ) / 2

LCM(113,138,416) = 6487104 / 2

LCM(113,138,416) = 3243552


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 83/113, 77/138, 917/416

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 83/113, 77/138, 917/416?

Answer: GCF of Numerators as per given numbers 83/113, 77/138, 917/416 is

GCF of Numerators i.e. for 83,77,917 is 1

LCM of denominators i.e. for 113,138,416 is 3243552.

Thus, GCF of Fractions is 1/3243552.Finally, GCF of Fractions for 83/113, 77/138, 917/416 is 1/3243552.