Greatest Common Factor of 1247/50, 9965/722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1247/50, 9965/722

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 1247/50,9965/722

Given fractions are 1247/50,9965/722

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 1247,9965

Greatest Common Factor of Numerators i.e. GCF of 1247,9965 is 1 .

LCM of Denominators means LCM of 50,722 as per the given fractions.

LCM of 50,722 is 18050 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1247,9965

GCF of Fractions 1247/50,9965/722 is 1/18050

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

Greatest Common Factor of 1247,9965 By Matching Biggest Common Factor Method

Greatest Common Factor of 1247,9965 By Matching Biggest Common Factor Method

Factors of 1247

List of positive integer factors of 1247 that divides 1247 without a remainder.

1,29,43,1247

Factors of 9965

List of positive integer factors of 9965 that divides 9965 without a remainder.

1,5,1993,9965

Greatest Common Factor

We found the factors 1247,9965 . The biggest common factor number is the GCF number.
So the greatest common factor 1247,9965 is 1.

Lets's calculate LCM of 50,722

2 50, 722
25, 361

∴ So the LCM of the given numbers is 2 x 25 x 361 = 18050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18050

Therefore, the GCF of Fractions 1247/50,9965/722 is 1/18050

Least Common Multiple of 50,722 with GCF Formula

Least Common Multiple of 50,722 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 50,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,722) = 2

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

GCF(50,722) x common factors =2 x 1 = 2

LCM(50,722) = ( 50 × 722 ) / 2

LCM(50,722) = 36100 / 2

LCM(50,722) = 18050


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 1247/50, 9965/722

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 1247/50, 9965/722?

Answer: GCF of Numerators as per given numbers 1247/50, 9965/722 is

GCF of Numerators i.e. for 1247,9965 is 1

LCM of denominators i.e. for 50,722 is 18050.

Thus, GCF of Fractions is 1/18050.Finally, GCF of Fractions for 1247/50, 9965/722 is 1/18050.