Greatest Common Factor of 8401/274, 5896/663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8401/274, 5896/663

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 8401/274,5896/663

Given fractions are 8401/274,5896/663

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 8401,5896

Greatest Common Factor of Numerators i.e. GCF of 8401,5896 is 1 .

LCM of Denominators means LCM of 274,663 as per the given fractions.

LCM of 274,663 is 181662 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8401,5896

GCF of Fractions 8401/274,5896/663 is 1/181662

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

Greatest Common Factor of 8401,5896 By Matching Biggest Common Factor Method

Greatest Common Factor of 8401,5896 By Matching Biggest Common Factor Method

Factors of 8401

List of positive integer factors of 8401 that divides 8401 without a remainder.

1,31,271,8401

Factors of 5896

List of positive integer factors of 5896 that divides 5896 without a remainder.

1,2,4,8,11,22,44,67,88,134,268,536,737,1474,2948,5896

Greatest Common Factor

We found the factors 8401,5896 . The biggest common factor number is the GCF number.
So the greatest common factor 8401,5896 is 1.

Lets's calculate LCM of 274,663

Given numbers has no common factors except 1. So, there LCM is their product i.e 181662

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/181662

Therefore, the GCF of Fractions 8401/274,5896/663 is 1/181662

Least Common Multiple of 274,663 with GCF Formula

Least Common Multiple of 274,663 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 274,663 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,663) = 1

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

GCF(274,663) x common factors =1 x 1 = 1

LCM(274,663) = ( 274 × 663 ) / 1

LCM(274,663) = 181662 / 1

LCM(274,663) = 181662


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 8401/274, 5896/663

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 8401/274, 5896/663?

Answer: GCF of Numerators as per given numbers 8401/274, 5896/663 is

GCF of Numerators i.e. for 8401,5896 is 1

LCM of denominators i.e. for 274,663 is 181662.

Thus, GCF of Fractions is 1/181662.Finally, GCF of Fractions for 8401/274, 5896/663 is 1/181662.