Greatest Common Factor of 2993/617, 6952/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2993/617, 6952/514

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 2993/617,6952/514

Given fractions are 2993/617,6952/514

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 2993,6952

Greatest Common Factor of Numerators i.e. GCF of 2993,6952 is 1 .

LCM of Denominators means LCM of 617,514 as per the given fractions.

LCM of 617,514 is 317138 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2993,6952

GCF of Fractions 2993/617,6952/514 is 1/317138

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

Greatest Common Factor of 2993,6952 By Matching Biggest Common Factor Method

Greatest Common Factor of 2993,6952 By Matching Biggest Common Factor Method

Factors of 2993

List of positive integer factors of 2993 that divides 2993 without a remainder.

1,41,73,2993

Factors of 6952

List of positive integer factors of 6952 that divides 6952 without a remainder.

1,2,4,8,11,22,44,79,88,158,316,632,869,1738,3476,6952

Greatest Common Factor

We found the factors 2993,6952 . The biggest common factor number is the GCF number.
So the greatest common factor 2993,6952 is 1.

Lets's calculate LCM of 617,514

Given numbers has no common factors except 1. So, there LCM is their product i.e 317138

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/317138

Therefore, the GCF of Fractions 2993/617,6952/514 is 1/317138

Least Common Multiple of 617,514 with GCF Formula

Least Common Multiple of 617,514 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 617,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(617,514) = 1

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

GCF(617,514) x common factors =1 x 1 = 1

LCM(617,514) = ( 617 × 514 ) / 1

LCM(617,514) = 317138 / 1

LCM(617,514) = 317138


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 2993/617, 6952/514

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 2993/617, 6952/514?

Answer: GCF of Numerators as per given numbers 2993/617, 6952/514 is

GCF of Numerators i.e. for 2993,6952 is 1

LCM of denominators i.e. for 617,514 is 317138.

Thus, GCF of Fractions is 1/317138.Finally, GCF of Fractions for 2993/617, 6952/514 is 1/317138.