Greatest Common Factor of 3510/542, 3393/851

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3510/542, 3393/851

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 3510/542,3393/851

Given fractions are 3510/542,3393/851

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 3510,3393

Greatest Common Factor of Numerators i.e. GCF of 3510,3393 is 117 .

LCM of Denominators means LCM of 542,851 as per the given fractions.

LCM of 542,851 is 461242 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3510,3393

GCF of Fractions 3510/542,3393/851 is 117/461242

3 3510, 3393
3 1170, 1131
13 390, 377
30, 29

∴ So the GCF of the given numbers is 3 x 3 x 13 = 117

Greatest Common Factor of 3510,3393 By Matching Biggest Common Factor Method

Greatest Common Factor of 3510,3393 By Matching Biggest Common Factor Method

Factors of 3510

List of positive integer factors of 3510 that divides 3510 without a remainder.

1,2,3,5,6,9,10,13,15,18,26,27,30,39,45,54,65,78,90,117,130,135,195,234,270,351,390,585,702,1170,1755,3510

Factors of 3393

List of positive integer factors of 3393 that divides 3393 without a remainder.

1,3,9,13,29,39,87,117,261,377,1131,3393

Greatest Common Factor

We found the factors 3510,3393 . The biggest common factor number is the GCF number.
So the greatest common factor 3510,3393 is 117.

Lets's calculate LCM of 542,851

Given numbers has no common factors except 1. So, there LCM is their product i.e 461242

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 117/461242

Therefore, the GCF of Fractions 3510/542,3393/851 is 117/461242

Least Common Multiple of 542,851 with GCF Formula

Least Common Multiple of 542,851 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 542,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(542,851) = 1

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

GCF(542,851) x common factors =1 x 1 = 1

LCM(542,851) = ( 542 × 851 ) / 1

LCM(542,851) = 461242 / 1

LCM(542,851) = 461242


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 3510/542, 3393/851

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 3510/542, 3393/851?

Answer: GCF of Numerators as per given numbers 3510/542, 3393/851 is

GCF of Numerators i.e. for 3510,3393 is 117

LCM of denominators i.e. for 542,851 is 461242.

Thus, GCF of Fractions is 117/461242.Finally, GCF of Fractions for 3510/542, 3393/851 is 117/461242.