Greatest Common Factor of 75/97, 232/28, 437/485

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 75/97, 232/28, 437/485

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 75/97,232/28,437/485

Given fractions are 75/97,232/28,437/485

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 75,232,437

Greatest Common Factor of Numerators i.e. GCF of 75,232,437 is 1 .

LCM of Denominators means LCM of 97,28,485 as per the given fractions.

LCM of 97,28,485 is 13580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 75,232,437

GCF of Fractions 75/97,232/28,437/485 is 1/13580

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

Greatest Common Factor of 75,232,437 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,232,437 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Factors of 437

List of positive integer factors of 437 that divides 437 without a remainder.

1,19,23,437

Greatest Common Factor

We found the factors 75,232,437 . The biggest common factor number is the GCF number.
So the greatest common factor 75,232,437 is 1.

Lets's calculate LCM of 97,28,485

97 97, 28, 485
1, 28, 5

∴ So the LCM of the given numbers is 97 x 1 x 28 x 5 = 13580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13580

Therefore, the GCF of Fractions 75/97,232/28,437/485 is 1/13580

Least Common Multiple of 97,28,485 with GCF Formula

Least Common Multiple of 97,28,485 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 97,28,485 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,28,485) = 1

common factors(in case of two or more numbers have common factors) = 97

GCF(97,28,485) x common factors =1 x 97 = 97

LCM(97,28,485) = ( 97 × 28 × 485 ) / 97

LCM(97,28,485) = 1317260 / 97

LCM(97,28,485) = 13580


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 75/97, 232/28, 437/485

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 75/97, 232/28, 437/485?

Answer: GCF of Numerators as per given numbers 75/97, 232/28, 437/485 is

GCF of Numerators i.e. for 75,232,437 is 1

LCM of denominators i.e. for 97,28,485 is 13580.

Thus, GCF of Fractions is 1/13580.Finally, GCF of Fractions for 75/97, 232/28, 437/485 is 1/13580.