Greatest Common Factor of 397/80, 605/62, 895/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 397/80, 605/62, 895/149

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 397/80,605/62,895/149

Given fractions are 397/80,605/62,895/149

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 397,605,895

Greatest Common Factor of Numerators i.e. GCF of 397,605,895 is 1 .

LCM of Denominators means LCM of 80,62,149 as per the given fractions.

LCM of 80,62,149 is 369520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 397,605,895

GCF of Fractions 397/80,605/62,895/149 is 1/369520

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

Greatest Common Factor of 397,605,895 By Matching Biggest Common Factor Method

Greatest Common Factor of 397,605,895 By Matching Biggest Common Factor Method

Factors of 397

List of positive integer factors of 397 that divides 397 without a remainder.

1,397

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Factors of 895

List of positive integer factors of 895 that divides 895 without a remainder.

1,5,179,895

Greatest Common Factor

We found the factors 397,605,895 . The biggest common factor number is the GCF number.
So the greatest common factor 397,605,895 is 1.

Lets's calculate LCM of 80,62,149

2 80, 62, 149
40, 31, 149

∴ So the LCM of the given numbers is 2 x 40 x 31 x 149 = 369520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/369520

Therefore, the GCF of Fractions 397/80,605/62,895/149 is 1/369520

Least Common Multiple of 80,62,149 with GCF Formula

Least Common Multiple of 80,62,149 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 80,62,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,62,149) = 1

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

GCF(80,62,149) x common factors =1 x 2 = 2

LCM(80,62,149) = ( 80 × 62 × 149 ) / 2

LCM(80,62,149) = 739040 / 2

LCM(80,62,149) = 369520


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 397/80, 605/62, 895/149

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 397/80, 605/62, 895/149?

Answer: GCF of Numerators as per given numbers 397/80, 605/62, 895/149 is

GCF of Numerators i.e. for 397,605,895 is 1

LCM of denominators i.e. for 80,62,149 is 369520.

Thus, GCF of Fractions is 1/369520.Finally, GCF of Fractions for 397/80, 605/62, 895/149 is 1/369520.