Greatest Common Factor of 967/338, 8593/4408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 967/338, 8593/4408

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 967/338,8593/4408

Given fractions are 967/338,8593/4408

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 967,8593

Greatest Common Factor of Numerators i.e. GCF of 967,8593 is 1 .

LCM of Denominators means LCM of 338,4408 as per the given fractions.

LCM of 338,4408 is 744952 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 967,8593

GCF of Fractions 967/338,8593/4408 is 1/744952

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

Greatest Common Factor of 967,8593 By Matching Biggest Common Factor Method

Greatest Common Factor of 967,8593 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 8593

List of positive integer factors of 8593 that divides 8593 without a remainder.

1,13,661,8593

Greatest Common Factor

We found the factors 967,8593 . The biggest common factor number is the GCF number.
So the greatest common factor 967,8593 is 1.

Lets's calculate LCM of 338,4408

2 338, 4408
169, 2204

∴ So the LCM of the given numbers is 2 x 169 x 2204 = 744952

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/744952

Therefore, the GCF of Fractions 967/338,8593/4408 is 1/744952

Least Common Multiple of 338,4408 with GCF Formula

Least Common Multiple of 338,4408 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 338,4408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(338,4408) = 2

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

GCF(338,4408) x common factors =2 x 1 = 2

LCM(338,4408) = ( 338 × 4408 ) / 2

LCM(338,4408) = 1489904 / 2

LCM(338,4408) = 744952


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 967/338, 8593/4408

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 967/338, 8593/4408?

Answer: GCF of Numerators as per given numbers 967/338, 8593/4408 is

GCF of Numerators i.e. for 967,8593 is 1

LCM of denominators i.e. for 338,4408 is 744952.

Thus, GCF of Fractions is 1/744952.Finally, GCF of Fractions for 967/338, 8593/4408 is 1/744952.