Greatest Common Factor of 236/73, 657/97, 745/82

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 236/73, 657/97, 745/82

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 236/73,657/97,745/82

Given fractions are 236/73,657/97,745/82

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 236,657,745

Greatest Common Factor of Numerators i.e. GCF of 236,657,745 is 1 .

LCM of Denominators means LCM of 73,97,82 as per the given fractions.

LCM of 73,97,82 is 580642 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 236,657,745

GCF of Fractions 236/73,657/97,745/82 is 1/580642

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

Greatest Common Factor of 236,657,745 By Matching Biggest Common Factor Method

Greatest Common Factor of 236,657,745 By Matching Biggest Common Factor Method

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Greatest Common Factor

We found the factors 236,657,745 . The biggest common factor number is the GCF number.
So the greatest common factor 236,657,745 is 1.

Lets's calculate LCM of 73,97,82

Given numbers has no common factors except 1. So, there LCM is their product i.e 580642

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/580642

Therefore, the GCF of Fractions 236/73,657/97,745/82 is 1/580642

Least Common Multiple of 73,97,82 with GCF Formula

Least Common Multiple of 73,97,82 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 73,97,82 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,97,82) = 1

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

GCF(73,97,82) x common factors =1 x 1 = 1

LCM(73,97,82) = ( 73 × 97 × 82 ) / 1

LCM(73,97,82) = 580642 / 1

LCM(73,97,82) = 580642


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 236/73, 657/97, 745/82

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 236/73, 657/97, 745/82?

Answer: GCF of Numerators as per given numbers 236/73, 657/97, 745/82 is

GCF of Numerators i.e. for 236,657,745 is 1

LCM of denominators i.e. for 73,97,82 is 580642.

Thus, GCF of Fractions is 1/580642.Finally, GCF of Fractions for 236/73, 657/97, 745/82 is 1/580642.