Greatest Common Factor of 221/5413, 374/1781

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 221/5413, 374/1781

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 221/5413,374/1781

Given fractions are 221/5413,374/1781

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 221,374

Greatest Common Factor of Numerators i.e. GCF of 221,374 is 17 .

LCM of Denominators means LCM of 5413,1781 as per the given fractions.

LCM of 5413,1781 is 9640553 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 221,374

GCF of Fractions 221/5413,374/1781 is 17/9640553

17 221, 374
13, 22

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 221,374 By Matching Biggest Common Factor Method

Greatest Common Factor of 221,374 By Matching Biggest Common Factor Method

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Greatest Common Factor

We found the factors 221,374 . The biggest common factor number is the GCF number.
So the greatest common factor 221,374 is 17.

Lets's calculate LCM of 5413,1781

Given numbers has no common factors except 1. So, there LCM is their product i.e 9640553

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/9640553

Therefore, the GCF of Fractions 221/5413,374/1781 is 17/9640553

Least Common Multiple of 5413,1781 with GCF Formula

Least Common Multiple of 5413,1781 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 5413,1781 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5413,1781) = 1

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

GCF(5413,1781) x common factors =1 x 1 = 1

LCM(5413,1781) = ( 5413 × 1781 ) / 1

LCM(5413,1781) = 9640553 / 1

LCM(5413,1781) = 9640553


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 221/5413, 374/1781

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 221/5413, 374/1781?

Answer: GCF of Numerators as per given numbers 221/5413, 374/1781 is

GCF of Numerators i.e. for 221,374 is 17

LCM of denominators i.e. for 5413,1781 is 9640553.

Thus, GCF of Fractions is 17/9640553.Finally, GCF of Fractions for 221/5413, 374/1781 is 17/9640553.