Greatest Common Factor of 535/352, 1220/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 535/352, 1220/578

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 535/352,1220/578

Given fractions are 535/352,1220/578

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 535,1220

Greatest Common Factor of Numerators i.e. GCF of 535,1220 is 5 .

LCM of Denominators means LCM of 352,578 as per the given fractions.

LCM of 352,578 is 101728 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 535,1220

GCF of Fractions 535/352,1220/578 is 5/101728

5 535, 1220
107, 244

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

Greatest Common Factor of 535,1220 By Matching Biggest Common Factor Method

Greatest Common Factor of 535,1220 By Matching Biggest Common Factor Method

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1,5,107,535

Factors of 1220

List of positive integer factors of 1220 that divides 1220 without a remainder.

1,2,4,5,10,20,61,122,244,305,610,1220

Greatest Common Factor

We found the factors 535,1220 . The biggest common factor number is the GCF number.
So the greatest common factor 535,1220 is 5.

Lets's calculate LCM of 352,578

2 352, 578
176, 289

∴ So the LCM of the given numbers is 2 x 176 x 289 = 101728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/101728

Therefore, the GCF of Fractions 535/352,1220/578 is 5/101728

Least Common Multiple of 352,578 with GCF Formula

Least Common Multiple of 352,578 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 352,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(352,578) = 2

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

GCF(352,578) x common factors =2 x 1 = 2

LCM(352,578) = ( 352 × 578 ) / 2

LCM(352,578) = 203456 / 2

LCM(352,578) = 101728


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 535/352, 1220/578

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 535/352, 1220/578?

Answer: GCF of Numerators as per given numbers 535/352, 1220/578 is

GCF of Numerators i.e. for 535,1220 is 5

LCM of denominators i.e. for 352,578 is 101728.

Thus, GCF of Fractions is 5/101728.Finally, GCF of Fractions for 535/352, 1220/578 is 5/101728.