Greatest Common Factor of 151/744, 310/422, 235/389

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 151/744, 310/422, 235/389

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 151/744,310/422,235/389

Given fractions are 151/744,310/422,235/389

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 151,310,235

Greatest Common Factor of Numerators i.e. GCF of 151,310,235 is 1 .

LCM of Denominators means LCM of 744,422,389 as per the given fractions.

LCM of 744,422,389 is 61066776 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 151,310,235

GCF of Fractions 151/744,310/422,235/389 is 1/61066776

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

Greatest Common Factor of 151,310,235 By Matching Biggest Common Factor Method

Greatest Common Factor of 151,310,235 By Matching Biggest Common Factor Method

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1,151

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Greatest Common Factor

We found the factors 151,310,235 . The biggest common factor number is the GCF number.
So the greatest common factor 151,310,235 is 1.


Lets's calculate LCM of 744,422,389

2 744, 422, 389
372, 211, 389

∴ So the LCM of the given numbers is 2 x 372 x 211 x 389 = 61066776

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61066776

Therefore, the GCF of Fractions 151/744,310/422,235/389 is 1/61066776

Least Common Multiple of 744,422,389 with GCF Formula

Least Common Multiple of 744,422,389 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 744,422,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,422,389) = 1

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

GCF(744,422,389) x common factors =1 x 2 = 2

LCM(744,422,389) = ( 744 × 422 × 389 ) / 2

LCM(744,422,389) = 122133552 / 2

LCM(744,422,389) = 61066776


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 151/744, 310/422, 235/389

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 151/744, 310/422, 235/389?

Answer: GCF of Numerators as per given numbers 151/744, 310/422, 235/389 is

GCF of Numerators i.e. for 151,310,235 is 1

LCM of denominators i.e. for 744,422,389 is 61066776.

Thus, GCF of Fractions is 1/61066776.Finally, GCF of Fractions for 151/744, 310/422, 235/389 is 1/61066776.