Greatest Common Factor of 4747/720, 9598/9414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4747/720, 9598/9414

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 4747/720,9598/9414

Given fractions are 4747/720,9598/9414

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 4747,9598

Greatest Common Factor of Numerators i.e. GCF of 4747,9598 is 1 .

LCM of Denominators means LCM of 720,9414 as per the given fractions.

LCM of 720,9414 is 376560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4747,9598

GCF of Fractions 4747/720,9598/9414 is 1/376560

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

Greatest Common Factor of 4747,9598 By Matching Biggest Common Factor Method

Greatest Common Factor of 4747,9598 By Matching Biggest Common Factor Method

Factors of 4747

List of positive integer factors of 4747 that divides 4747 without a remainder.

1,47,101,4747

Factors of 9598

List of positive integer factors of 9598 that divides 9598 without a remainder.

1,2,4799,9598

Greatest Common Factor

We found the factors 4747,9598 . The biggest common factor number is the GCF number.
So the greatest common factor 4747,9598 is 1.

Lets's calculate LCM of 720,9414

2 720, 9414
3 360, 4707
3 120, 1569
40, 523

∴ So the LCM of the given numbers is 2 x 3 x 3 x 40 x 523 = 376560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/376560

Therefore, the GCF of Fractions 4747/720,9598/9414 is 1/376560

Least Common Multiple of 720,9414 with GCF Formula

Least Common Multiple of 720,9414 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 720,9414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(720,9414) = 18

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

GCF(720,9414) x common factors =18 x 1 = 18

LCM(720,9414) = ( 720 × 9414 ) / 18

LCM(720,9414) = 6778080 / 18

LCM(720,9414) = 376560


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 4747/720, 9598/9414

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 4747/720, 9598/9414?

Answer: GCF of Numerators as per given numbers 4747/720, 9598/9414 is

GCF of Numerators i.e. for 4747,9598 is 1

LCM of denominators i.e. for 720,9414 is 376560.

Thus, GCF of Fractions is 1/376560.Finally, GCF of Fractions for 4747/720, 9598/9414 is 1/376560.