Greatest Common Factor of 9575/400, 3315/4746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9575/400, 3315/4746

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 9575/400,3315/4746

Given fractions are 9575/400,3315/4746

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 9575,3315

Greatest Common Factor of Numerators i.e. GCF of 9575,3315 is 5 .

LCM of Denominators means LCM of 400,4746 as per the given fractions.

LCM of 400,4746 is 949200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9575,3315

GCF of Fractions 9575/400,3315/4746 is 5/949200

5 9575, 3315
1915, 663

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 9575,3315 By Matching Biggest Common Factor Method

Greatest Common Factor of 9575,3315 By Matching Biggest Common Factor Method

Factors of 9575

List of positive integer factors of 9575 that divides 9575 without a remainder.

1,5,25,383,1915,9575

Factors of 3315

List of positive integer factors of 3315 that divides 3315 without a remainder.

1,3,5,13,15,17,39,51,65,85,195,221,255,663,1105,3315

Greatest Common Factor

We found the factors 9575,3315 . The biggest common factor number is the GCF number.
So the greatest common factor 9575,3315 is 5.

Lets's calculate LCM of 400,4746

2 400, 4746
200, 2373

∴ So the LCM of the given numbers is 2 x 200 x 2373 = 949200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/949200

Therefore, the GCF of Fractions 9575/400,3315/4746 is 5/949200

Least Common Multiple of 400,4746 with GCF Formula

Least Common Multiple of 400,4746 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 400,4746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,4746) = 2

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

GCF(400,4746) x common factors =2 x 1 = 2

LCM(400,4746) = ( 400 × 4746 ) / 2

LCM(400,4746) = 1898400 / 2

LCM(400,4746) = 949200


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 9575/400, 3315/4746

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 9575/400, 3315/4746?

Answer: GCF of Numerators as per given numbers 9575/400, 3315/4746 is

GCF of Numerators i.e. for 9575,3315 is 5

LCM of denominators i.e. for 400,4746 is 949200.

Thus, GCF of Fractions is 5/949200.Finally, GCF of Fractions for 9575/400, 3315/4746 is 5/949200.