Greatest Common Factor of 953/311, 764/340, 162/576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 953/311, 764/340, 162/576

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 953/311,764/340,162/576

Given fractions are 953/311,764/340,162/576

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 953,764,162

Greatest Common Factor of Numerators i.e. GCF of 953,764,162 is 1 .

LCM of Denominators means LCM of 311,340,576 as per the given fractions.

LCM of 311,340,576 is 15226560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 953,764,162

GCF of Fractions 953/311,764/340,162/576 is 1/15226560

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

Greatest Common Factor of 953,764,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 953,764,162 By Matching Biggest Common Factor Method

Factors of 953

List of positive integer factors of 953 that divides 953 without a remainder.

1,953

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 953,764,162 . The biggest common factor number is the GCF number.
So the greatest common factor 953,764,162 is 1.

Lets's calculate LCM of 311,340,576

2 311, 340, 576
2 311, 170, 288
311, 85, 144

∴ So the LCM of the given numbers is 2 x 2 x 311 x 85 x 144 = 15226560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15226560

Therefore, the GCF of Fractions 953/311,764/340,162/576 is 1/15226560

Least Common Multiple of 311,340,576 with GCF Formula

Least Common Multiple of 311,340,576 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 311,340,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(311,340,576) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(311,340,576) x common factors =1 x 4 = 4

LCM(311,340,576) = ( 311 × 340 × 576 ) / 4

LCM(311,340,576) = 60906240 / 4

LCM(311,340,576) = 15226560


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 953/311, 764/340, 162/576

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 953/311, 764/340, 162/576?

Answer: GCF of Numerators as per given numbers 953/311, 764/340, 162/576 is

GCF of Numerators i.e. for 953,764,162 is 1

LCM of denominators i.e. for 311,340,576 is 15226560.

Thus, GCF of Fractions is 1/15226560.Finally, GCF of Fractions for 953/311, 764/340, 162/576 is 1/15226560.