Greatest Common Factor of 366/691, 845/356, 157/254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 366/691, 845/356, 157/254

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 366/691,845/356,157/254

Given fractions are 366/691,845/356,157/254

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 366,845,157

Greatest Common Factor of Numerators i.e. GCF of 366,845,157 is 1 .

LCM of Denominators means LCM of 691,356,254 as per the given fractions.

LCM of 691,356,254 is 31241492 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 366,845,157

GCF of Fractions 366/691,845/356,157/254 is 1/31241492

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

Greatest Common Factor of 366,845,157 By Matching Biggest Common Factor Method

Greatest Common Factor of 366,845,157 By Matching Biggest Common Factor Method

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Greatest Common Factor

We found the factors 366,845,157 . The biggest common factor number is the GCF number.
So the greatest common factor 366,845,157 is 1.

Lets's calculate LCM of 691,356,254

2 691, 356, 254
691, 178, 127

∴ So the LCM of the given numbers is 2 x 691 x 178 x 127 = 31241492

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31241492

Therefore, the GCF of Fractions 366/691,845/356,157/254 is 1/31241492

Least Common Multiple of 691,356,254 with GCF Formula

Least Common Multiple of 691,356,254 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 691,356,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(691,356,254) = 1

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

GCF(691,356,254) x common factors =1 x 2 = 2

LCM(691,356,254) = ( 691 × 356 × 254 ) / 2

LCM(691,356,254) = 62482984 / 2

LCM(691,356,254) = 31241492


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 366/691, 845/356, 157/254

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 366/691, 845/356, 157/254?

Answer: GCF of Numerators as per given numbers 366/691, 845/356, 157/254 is

GCF of Numerators i.e. for 366,845,157 is 1

LCM of denominators i.e. for 691,356,254 is 31241492.

Thus, GCF of Fractions is 1/31241492.Finally, GCF of Fractions for 366/691, 845/356, 157/254 is 1/31241492.