Greatest Common Factor of 3374/494, 1491/107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3374/494, 1491/107

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 3374/494,1491/107

Given fractions are 3374/494,1491/107

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 3374,1491

Greatest Common Factor of Numerators i.e. GCF of 3374,1491 is 7 .

LCM of Denominators means LCM of 494,107 as per the given fractions.

LCM of 494,107 is 52858 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3374,1491

GCF of Fractions 3374/494,1491/107 is 7/52858

7 3374, 1491
482, 213

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 3374,1491 By Matching Biggest Common Factor Method

Greatest Common Factor of 3374,1491 By Matching Biggest Common Factor Method

Factors of 3374

List of positive integer factors of 3374 that divides 3374 without a remainder.

1,2,7,14,241,482,1687,3374

Factors of 1491

List of positive integer factors of 1491 that divides 1491 without a remainder.

1,3,7,21,71,213,497,1491

Greatest Common Factor

We found the factors 3374,1491 . The biggest common factor number is the GCF number.
So the greatest common factor 3374,1491 is 7.

Lets's calculate LCM of 494,107

Given numbers has no common factors except 1. So, there LCM is their product i.e 52858

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/52858

Therefore, the GCF of Fractions 3374/494,1491/107 is 7/52858

Least Common Multiple of 494,107 with GCF Formula

Least Common Multiple of 494,107 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 494,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(494,107) = 1

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

GCF(494,107) x common factors =1 x 1 = 1

LCM(494,107) = ( 494 × 107 ) / 1

LCM(494,107) = 52858 / 1

LCM(494,107) = 52858


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 3374/494, 1491/107

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 3374/494, 1491/107?

Answer: GCF of Numerators as per given numbers 3374/494, 1491/107 is

GCF of Numerators i.e. for 3374,1491 is 7

LCM of denominators i.e. for 494,107 is 52858.

Thus, GCF of Fractions is 7/52858.Finally, GCF of Fractions for 3374/494, 1491/107 is 7/52858.