Greatest Common Factor of 855/74, 604/71, 949/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 855/74, 604/71, 949/132

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 855/74,604/71,949/132

Given fractions are 855/74,604/71,949/132

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 855,604,949

Greatest Common Factor of Numerators i.e. GCF of 855,604,949 is 1 .

LCM of Denominators means LCM of 74,71,132 as per the given fractions.

LCM of 74,71,132 is 346764 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 855,604,949

GCF of Fractions 855/74,604/71,949/132 is 1/346764

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

Greatest Common Factor of 855,604,949 By Matching Biggest Common Factor Method

Greatest Common Factor of 855,604,949 By Matching Biggest Common Factor Method

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Factors of 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Greatest Common Factor

We found the factors 855,604,949 . The biggest common factor number is the GCF number.
So the greatest common factor 855,604,949 is 1.

Lets's calculate LCM of 74,71,132

2 74, 71, 132
37, 71, 66

∴ So the LCM of the given numbers is 2 x 37 x 71 x 66 = 346764

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/346764

Therefore, the GCF of Fractions 855/74,604/71,949/132 is 1/346764

Least Common Multiple of 74,71,132 with GCF Formula

Least Common Multiple of 74,71,132 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 74,71,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,71,132) = 1

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

GCF(74,71,132) x common factors =1 x 2 = 2

LCM(74,71,132) = ( 74 × 71 × 132 ) / 2

LCM(74,71,132) = 693528 / 2

LCM(74,71,132) = 346764


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 855/74, 604/71, 949/132

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 855/74, 604/71, 949/132?

Answer: GCF of Numerators as per given numbers 855/74, 604/71, 949/132 is

GCF of Numerators i.e. for 855,604,949 is 1

LCM of denominators i.e. for 74,71,132 is 346764.

Thus, GCF of Fractions is 1/346764.Finally, GCF of Fractions for 855/74, 604/71, 949/132 is 1/346764.