Greatest Common Factor of 5901/300, 9464/4978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5901/300, 9464/4978

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 5901/300,9464/4978

Given fractions are 5901/300,9464/4978

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 5901,9464

Greatest Common Factor of Numerators i.e. GCF of 5901,9464 is 7 .

LCM of Denominators means LCM of 300,4978 as per the given fractions.

LCM of 300,4978 is 746700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5901,9464

GCF of Fractions 5901/300,9464/4978 is 7/746700

7 5901, 9464
843, 1352

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 5901,9464 By Matching Biggest Common Factor Method

Greatest Common Factor of 5901,9464 By Matching Biggest Common Factor Method

Factors of 5901

List of positive integer factors of 5901 that divides 5901 without a remainder.

1,3,7,21,281,843,1967,5901

Factors of 9464

List of positive integer factors of 9464 that divides 9464 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,169,182,338,364,676,728,1183,1352,2366,4732,9464

Greatest Common Factor

We found the factors 5901,9464 . The biggest common factor number is the GCF number.
So the greatest common factor 5901,9464 is 7.

Lets's calculate LCM of 300,4978

2 300, 4978
150, 2489

∴ So the LCM of the given numbers is 2 x 150 x 2489 = 746700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/746700

Therefore, the GCF of Fractions 5901/300,9464/4978 is 7/746700

Least Common Multiple of 300,4978 with GCF Formula

Least Common Multiple of 300,4978 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 300,4978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,4978) = 2

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

GCF(300,4978) x common factors =2 x 1 = 2

LCM(300,4978) = ( 300 × 4978 ) / 2

LCM(300,4978) = 1493400 / 2

LCM(300,4978) = 746700


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 5901/300, 9464/4978

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 5901/300, 9464/4978?

Answer: GCF of Numerators as per given numbers 5901/300, 9464/4978 is

GCF of Numerators i.e. for 5901,9464 is 7

LCM of denominators i.e. for 300,4978 is 746700.

Thus, GCF of Fractions is 7/746700.Finally, GCF of Fractions for 5901/300, 9464/4978 is 7/746700.