Greatest Common Factor of 676/234, 3658/411

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 676/234, 3658/411

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 676/234,3658/411

Given fractions are 676/234,3658/411

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 676,3658

Greatest Common Factor of Numerators i.e. GCF of 676,3658 is 2 .

LCM of Denominators means LCM of 234,411 as per the given fractions.

LCM of 234,411 is 32058 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 676,3658

GCF of Fractions 676/234,3658/411 is 2/32058

2 676, 3658
338, 1829

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

Greatest Common Factor of 676,3658 By Matching Biggest Common Factor Method

Greatest Common Factor of 676,3658 By Matching Biggest Common Factor Method

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Factors of 3658

List of positive integer factors of 3658 that divides 3658 without a remainder.

1,2,31,59,62,118,1829,3658

Greatest Common Factor

We found the factors 676,3658 . The biggest common factor number is the GCF number.
So the greatest common factor 676,3658 is 2.

Lets's calculate LCM of 234,411

3 234, 411
78, 137

∴ So the LCM of the given numbers is 3 x 78 x 137 = 32058

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/32058

Therefore, the GCF of Fractions 676/234,3658/411 is 2/32058

Least Common Multiple of 234,411 with GCF Formula

Least Common Multiple of 234,411 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 234,411 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,411) = 3

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

GCF(234,411) x common factors =3 x 1 = 3

LCM(234,411) = ( 234 × 411 ) / 3

LCM(234,411) = 96174 / 3

LCM(234,411) = 32058


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 676/234, 3658/411

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 676/234, 3658/411?

Answer: GCF of Numerators as per given numbers 676/234, 3658/411 is

GCF of Numerators i.e. for 676,3658 is 2

LCM of denominators i.e. for 234,411 is 32058.

Thus, GCF of Fractions is 2/32058.Finally, GCF of Fractions for 676/234, 3658/411 is 2/32058.