Greatest Common Factor of 5980/722, 3575/1264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5980/722, 3575/1264

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 5980/722,3575/1264

Given fractions are 5980/722,3575/1264

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 5980,3575

Greatest Common Factor of Numerators i.e. GCF of 5980,3575 is 65 .

LCM of Denominators means LCM of 722,1264 as per the given fractions.

LCM of 722,1264 is 456304 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5980,3575

GCF of Fractions 5980/722,3575/1264 is 65/456304

5 5980, 3575
13 1196, 715
92, 55

∴ So the GCF of the given numbers is 5 x 13 = 65

Greatest Common Factor of 5980,3575 By Matching Biggest Common Factor Method

Greatest Common Factor of 5980,3575 By Matching Biggest Common Factor Method

Factors of 5980

List of positive integer factors of 5980 that divides 5980 without a remainder.

1,2,4,5,10,13,20,23,26,46,52,65,92,115,130,230,260,299,460,598,1196,1495,2990,5980

Factors of 3575

List of positive integer factors of 3575 that divides 3575 without a remainder.

1,5,11,13,25,55,65,143,275,325,715,3575

Greatest Common Factor

We found the factors 5980,3575 . The biggest common factor number is the GCF number.
So the greatest common factor 5980,3575 is 65.

Lets's calculate LCM of 722,1264

2 722, 1264
361, 632

∴ So the LCM of the given numbers is 2 x 361 x 632 = 456304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 65/456304

Therefore, the GCF of Fractions 5980/722,3575/1264 is 65/456304

Least Common Multiple of 722,1264 with GCF Formula

Least Common Multiple of 722,1264 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 722,1264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(722,1264) = 2

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

GCF(722,1264) x common factors =2 x 1 = 2

LCM(722,1264) = ( 722 × 1264 ) / 2

LCM(722,1264) = 912608 / 2

LCM(722,1264) = 456304


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 5980/722, 3575/1264

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 5980/722, 3575/1264?

Answer: GCF of Numerators as per given numbers 5980/722, 3575/1264 is

GCF of Numerators i.e. for 5980,3575 is 65

LCM of denominators i.e. for 722,1264 is 456304.

Thus, GCF of Fractions is 65/456304.Finally, GCF of Fractions for 5980/722, 3575/1264 is 65/456304.