Greatest Common Factor of 3491/274, 1632/522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3491/274, 1632/522

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 3491/274,1632/522

Given fractions are 3491/274,1632/522

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 3491,1632

Greatest Common Factor of Numerators i.e. GCF of 3491,1632 is 1 .

LCM of Denominators means LCM of 274,522 as per the given fractions.

LCM of 274,522 is 71514 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3491,1632

GCF of Fractions 3491/274,1632/522 is 1/71514

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3491,1632 By Matching Biggest Common Factor Method

Greatest Common Factor of 3491,1632 By Matching Biggest Common Factor Method

Factors of 3491

List of positive integer factors of 3491 that divides 3491 without a remainder.

1,3491

Factors of 1632

List of positive integer factors of 1632 that divides 1632 without a remainder.

1,2,3,4,6,8,12,16,17,24,32,34,48,51,68,96,102,136,204,272,408,544,816,1632

Greatest Common Factor

We found the factors 3491,1632 . The biggest common factor number is the GCF number.
So the greatest common factor 3491,1632 is 1.

Lets's calculate LCM of 274,522

2 274, 522
137, 261

∴ So the LCM of the given numbers is 2 x 137 x 261 = 71514

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71514

Therefore, the GCF of Fractions 3491/274,1632/522 is 1/71514

Least Common Multiple of 274,522 with GCF Formula

Least Common Multiple of 274,522 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 274,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,522) = 2

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

GCF(274,522) x common factors =2 x 1 = 2

LCM(274,522) = ( 274 × 522 ) / 2

LCM(274,522) = 143028 / 2

LCM(274,522) = 71514


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 3491/274, 1632/522

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 3491/274, 1632/522?

Answer: GCF of Numerators as per given numbers 3491/274, 1632/522 is

GCF of Numerators i.e. for 3491,1632 is 1

LCM of denominators i.e. for 274,522 is 71514.

Thus, GCF of Fractions is 1/71514.Finally, GCF of Fractions for 3491/274, 1632/522 is 1/71514.