Greatest Common Factor of 338/947, 3033/9722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 338/947, 3033/9722

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 338/947,3033/9722

Given fractions are 338/947,3033/9722

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 338,3033

Greatest Common Factor of Numerators i.e. GCF of 338,3033 is 1 .

LCM of Denominators means LCM of 947,9722 as per the given fractions.

LCM of 947,9722 is 9206734 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 338,3033

GCF of Fractions 338/947,3033/9722 is 1/9206734

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

Greatest Common Factor of 338,3033 By Matching Biggest Common Factor Method

Greatest Common Factor of 338,3033 By Matching Biggest Common Factor Method

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 3033

List of positive integer factors of 3033 that divides 3033 without a remainder.

1,3,9,337,1011,3033

Greatest Common Factor

We found the factors 338,3033 . The biggest common factor number is the GCF number.
So the greatest common factor 338,3033 is 1.

Lets's calculate LCM of 947,9722

Given numbers has no common factors except 1. So, there LCM is their product i.e 9206734

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9206734

Therefore, the GCF of Fractions 338/947,3033/9722 is 1/9206734

Least Common Multiple of 947,9722 with GCF Formula

Least Common Multiple of 947,9722 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 947,9722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(947,9722) = 1

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

GCF(947,9722) x common factors =1 x 1 = 1

LCM(947,9722) = ( 947 × 9722 ) / 1

LCM(947,9722) = 9206734 / 1

LCM(947,9722) = 9206734


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 338/947, 3033/9722

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 338/947, 3033/9722?

Answer: GCF of Numerators as per given numbers 338/947, 3033/9722 is

GCF of Numerators i.e. for 338,3033 is 1

LCM of denominators i.e. for 947,9722 is 9206734.

Thus, GCF of Fractions is 1/9206734.Finally, GCF of Fractions for 338/947, 3033/9722 is 1/9206734.