Greatest Common Factor of 967/44, 747/74, 969/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 967/44, 747/74, 969/514

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 967/44,747/74,969/514

Given fractions are 967/44,747/74,969/514

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 967,747,969

Greatest Common Factor of Numerators i.e. GCF of 967,747,969 is 1 .

LCM of Denominators means LCM of 44,74,514 as per the given fractions.

LCM of 44,74,514 is 418396 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 967,747,969

GCF of Fractions 967/44,747/74,969/514 is 1/418396

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

Greatest Common Factor of 967,747,969 By Matching Biggest Common Factor Method

Greatest Common Factor of 967,747,969 By Matching Biggest Common Factor Method

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1,967

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Factors of 969

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

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

Greatest Common Factor

We found the factors 967,747,969 . The biggest common factor number is the GCF number.
So the greatest common factor 967,747,969 is 1.

Lets's calculate LCM of 44,74,514

2 44, 74, 514
22, 37, 257

∴ So the LCM of the given numbers is 2 x 22 x 37 x 257 = 418396

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/418396

Therefore, the GCF of Fractions 967/44,747/74,969/514 is 1/418396

Least Common Multiple of 44,74,514 with GCF Formula

Least Common Multiple of 44,74,514 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 44,74,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,74,514) = 2

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

GCF(44,74,514) x common factors =2 x 2 = 4

LCM(44,74,514) = ( 44 × 74 × 514 ) / 4

LCM(44,74,514) = 1673584 / 4

LCM(44,74,514) = 418396


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 967/44, 747/74, 969/514

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 967/44, 747/74, 969/514?

Answer: GCF of Numerators as per given numbers 967/44, 747/74, 969/514 is

GCF of Numerators i.e. for 967,747,969 is 1

LCM of denominators i.e. for 44,74,514 is 418396.

Thus, GCF of Fractions is 1/418396.Finally, GCF of Fractions for 967/44, 747/74, 969/514 is 1/418396.