Greatest Common Factor of 3568/134, 2542/3398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3568/134, 2542/3398

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 3568/134,2542/3398

Given fractions are 3568/134,2542/3398

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 3568,2542

Greatest Common Factor of Numerators i.e. GCF of 3568,2542 is 2 .

LCM of Denominators means LCM of 134,3398 as per the given fractions.

LCM of 134,3398 is 227666 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3568,2542

GCF of Fractions 3568/134,2542/3398 is 2/227666

2 3568, 2542
1784, 1271

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3568,2542 By Matching Biggest Common Factor Method

Greatest Common Factor of 3568,2542 By Matching Biggest Common Factor Method

Factors of 3568

List of positive integer factors of 3568 that divides 3568 without a remainder.

1,2,4,8,16,223,446,892,1784,3568

Factors of 2542

List of positive integer factors of 2542 that divides 2542 without a remainder.

1,2,31,41,62,82,1271,2542

Greatest Common Factor

We found the factors 3568,2542 . The biggest common factor number is the GCF number.
So the greatest common factor 3568,2542 is 2.

Lets's calculate LCM of 134,3398

2 134, 3398
67, 1699

∴ So the LCM of the given numbers is 2 x 67 x 1699 = 227666

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/227666

Therefore, the GCF of Fractions 3568/134,2542/3398 is 2/227666

Least Common Multiple of 134,3398 with GCF Formula

Least Common Multiple of 134,3398 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 134,3398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(134,3398) = 2

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

GCF(134,3398) x common factors =2 x 1 = 2

LCM(134,3398) = ( 134 × 3398 ) / 2

LCM(134,3398) = 455332 / 2

LCM(134,3398) = 227666


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 3568/134, 2542/3398

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 3568/134, 2542/3398?

Answer: GCF of Numerators as per given numbers 3568/134, 2542/3398 is

GCF of Numerators i.e. for 3568,2542 is 2

LCM of denominators i.e. for 134,3398 is 227666.

Thus, GCF of Fractions is 2/227666.Finally, GCF of Fractions for 3568/134, 2542/3398 is 2/227666.