Greatest Common Factor of 975/14, 969/56, 746/309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 975/14, 969/56, 746/309

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 975/14,969/56,746/309

Given fractions are 975/14,969/56,746/309

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 975,969,746

Greatest Common Factor of Numerators i.e. GCF of 975,969,746 is 1 .

LCM of Denominators means LCM of 14,56,309 as per the given fractions.

LCM of 14,56,309 is 17304 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 975,969,746

GCF of Fractions 975/14,969/56,746/309 is 1/17304

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

Greatest Common Factor of 975,969,746 By Matching Biggest Common Factor Method

Greatest Common Factor of 975,969,746 By Matching Biggest Common Factor Method

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

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 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Greatest Common Factor

We found the factors 975,969,746 . The biggest common factor number is the GCF number.
So the greatest common factor 975,969,746 is 1.

Lets's calculate LCM of 14,56,309

2 14, 56, 309
7 7, 28, 309
1, 4, 309

∴ So the LCM of the given numbers is 2 x 7 x 1 x 4 x 309 = 17304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17304

Therefore, the GCF of Fractions 975/14,969/56,746/309 is 1/17304

Least Common Multiple of 14,56,309 with GCF Formula

Least Common Multiple of 14,56,309 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 14,56,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,56,309) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(14,56,309) x common factors =1 x 14 = 14

LCM(14,56,309) = ( 14 × 56 × 309 ) / 14

LCM(14,56,309) = 242256 / 14

LCM(14,56,309) = 17304


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 975/14, 969/56, 746/309

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 975/14, 969/56, 746/309?

Answer: GCF of Numerators as per given numbers 975/14, 969/56, 746/309 is

GCF of Numerators i.e. for 975,969,746 is 1

LCM of denominators i.e. for 14,56,309 is 17304.

Thus, GCF of Fractions is 1/17304.Finally, GCF of Fractions for 975/14, 969/56, 746/309 is 1/17304.