Greatest Common Factor of 956/16, 461/30, 170/95

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 956/16, 461/30, 170/95

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 956/16,461/30,170/95

Given fractions are 956/16,461/30,170/95

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 956,461,170

Greatest Common Factor of Numerators i.e. GCF of 956,461,170 is 1 .

LCM of Denominators means LCM of 16,30,95 as per the given fractions.

LCM of 16,30,95 is 4560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 956,461,170

GCF of Fractions 956/16,461/30,170/95 is 1/4560

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

Greatest Common Factor of 956,461,170 By Matching Biggest Common Factor Method

Greatest Common Factor of 956,461,170 By Matching Biggest Common Factor Method

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Greatest Common Factor

We found the factors 956,461,170 . The biggest common factor number is the GCF number.
So the greatest common factor 956,461,170 is 1.

Lets's calculate LCM of 16,30,95

2 16, 30, 95
5 8, 15, 95
8, 3, 19

∴ So the LCM of the given numbers is 2 x 5 x 8 x 3 x 19 = 4560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4560

Therefore, the GCF of Fractions 956/16,461/30,170/95 is 1/4560

Least Common Multiple of 16,30,95 with GCF Formula

Least Common Multiple of 16,30,95 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 16,30,95 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,30,95) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(16,30,95) x common factors =1 x 10 = 10

LCM(16,30,95) = ( 16 × 30 × 95 ) / 10

LCM(16,30,95) = 45600 / 10

LCM(16,30,95) = 4560


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 956/16, 461/30, 170/95

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 956/16, 461/30, 170/95?

Answer: GCF of Numerators as per given numbers 956/16, 461/30, 170/95 is

GCF of Numerators i.e. for 956,461,170 is 1

LCM of denominators i.e. for 16,30,95 is 4560.

Thus, GCF of Fractions is 1/4560.Finally, GCF of Fractions for 956/16, 461/30, 170/95 is 1/4560.