Greatest Common Factor of 956/95, 927/14, 718/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 956/95, 927/14, 718/306

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 956/95,927/14,718/306

Given fractions are 956/95,927/14,718/306

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 956,927,718

Greatest Common Factor of Numerators i.e. GCF of 956,927,718 is 1 .

LCM of Denominators means LCM of 95,14,306 as per the given fractions.

LCM of 95,14,306 is 203490 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 956,927,718

GCF of Fractions 956/95,927/14,718/306 is 1/203490

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

Greatest Common Factor of 956,927,718 By Matching Biggest Common Factor Method

Greatest Common Factor of 956,927,718 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 927

List of positive integer factors of 927 that divides 927 without a remainder.

1,3,9,103,309,927

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Greatest Common Factor

We found the factors 956,927,718 . The biggest common factor number is the GCF number.
So the greatest common factor 956,927,718 is 1.

Lets's calculate LCM of 95,14,306

2 95, 14, 306
95, 7, 153

∴ So the LCM of the given numbers is 2 x 95 x 7 x 153 = 203490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/203490

Therefore, the GCF of Fractions 956/95,927/14,718/306 is 1/203490

Least Common Multiple of 95,14,306 with GCF Formula

Least Common Multiple of 95,14,306 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 95,14,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,14,306) = 1

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

GCF(95,14,306) x common factors =1 x 2 = 2

LCM(95,14,306) = ( 95 × 14 × 306 ) / 2

LCM(95,14,306) = 406980 / 2

LCM(95,14,306) = 203490


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 956/95, 927/14, 718/306

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 956/95, 927/14, 718/306?

Answer: GCF of Numerators as per given numbers 956/95, 927/14, 718/306 is

GCF of Numerators i.e. for 956,927,718 is 1

LCM of denominators i.e. for 95,14,306 is 203490.

Thus, GCF of Fractions is 1/203490.Finally, GCF of Fractions for 956/95, 927/14, 718/306 is 1/203490.