Greatest Common Factor of 2676/798, 3375/410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2676/798, 3375/410

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 2676/798,3375/410

Given fractions are 2676/798,3375/410

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 2676,3375

Greatest Common Factor of Numerators i.e. GCF of 2676,3375 is 3 .

LCM of Denominators means LCM of 798,410 as per the given fractions.

LCM of 798,410 is 163590 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2676,3375

GCF of Fractions 2676/798,3375/410 is 3/163590

3 2676, 3375
892, 1125

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 2676,3375 By Matching Biggest Common Factor Method

Greatest Common Factor of 2676,3375 By Matching Biggest Common Factor Method

Factors of 2676

List of positive integer factors of 2676 that divides 2676 without a remainder.

1,2,3,4,6,12,223,446,669,892,1338,2676

Factors of 3375

List of positive integer factors of 3375 that divides 3375 without a remainder.

1,3,5,9,15,25,27,45,75,125,135,225,375,675,1125,3375

Greatest Common Factor

We found the factors 2676,3375 . The biggest common factor number is the GCF number.
So the greatest common factor 2676,3375 is 3.

Lets's calculate LCM of 798,410

2 798, 410
399, 205

∴ So the LCM of the given numbers is 2 x 399 x 205 = 163590

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/163590

Therefore, the GCF of Fractions 2676/798,3375/410 is 3/163590

Least Common Multiple of 798,410 with GCF Formula

Least Common Multiple of 798,410 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 798,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(798,410) = 2

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

GCF(798,410) x common factors =2 x 1 = 2

LCM(798,410) = ( 798 × 410 ) / 2

LCM(798,410) = 327180 / 2

LCM(798,410) = 163590


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 2676/798, 3375/410

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 2676/798, 3375/410?

Answer: GCF of Numerators as per given numbers 2676/798, 3375/410 is

GCF of Numerators i.e. for 2676,3375 is 3

LCM of denominators i.e. for 798,410 is 163590.

Thus, GCF of Fractions is 3/163590.Finally, GCF of Fractions for 2676/798, 3375/410 is 3/163590.