Greatest Common Factor of 969/953, 7311/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 969/953, 7311/164

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 969/953,7311/164

Given fractions are 969/953,7311/164

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 969,7311

Greatest Common Factor of Numerators i.e. GCF of 969,7311 is 3 .

LCM of Denominators means LCM of 953,164 as per the given fractions.

LCM of 953,164 is 156292 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 969,7311

GCF of Fractions 969/953,7311/164 is 3/156292

3 969, 7311
323, 2437

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 969,7311 By Matching Biggest Common Factor Method

Greatest Common Factor of 969,7311 By Matching Biggest Common Factor Method

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Factors of 7311

List of positive integer factors of 7311 that divides 7311 without a remainder.

1,3,2437,7311

Greatest Common Factor

We found the factors 969,7311 . The biggest common factor number is the GCF number.
So the greatest common factor 969,7311 is 3.

Lets's calculate LCM of 953,164

Given numbers has no common factors except 1. So, there LCM is their product i.e 156292

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/156292

Therefore, the GCF of Fractions 969/953,7311/164 is 3/156292

Least Common Multiple of 953,164 with GCF Formula

Least Common Multiple of 953,164 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 953,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(953,164) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(953,164) x common factors =1 x 1 = 1

LCM(953,164) = ( 953 × 164 ) / 1

LCM(953,164) = 156292 / 1

LCM(953,164) = 156292


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 969/953, 7311/164

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 969/953, 7311/164?

Answer: GCF of Numerators as per given numbers 969/953, 7311/164 is

GCF of Numerators i.e. for 969,7311 is 3

LCM of denominators i.e. for 953,164 is 156292.

Thus, GCF of Fractions is 3/156292.Finally, GCF of Fractions for 969/953, 7311/164 is 3/156292.