Greatest Common Factor of 8382/304, 7477/654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8382/304, 7477/654

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 8382/304,7477/654

Given fractions are 8382/304,7477/654

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 8382,7477

Greatest Common Factor of Numerators i.e. GCF of 8382,7477 is 1 .

LCM of Denominators means LCM of 304,654 as per the given fractions.

LCM of 304,654 is 99408 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8382,7477

GCF of Fractions 8382/304,7477/654 is 1/99408

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

Greatest Common Factor of 8382,7477 By Matching Biggest Common Factor Method

Greatest Common Factor of 8382,7477 By Matching Biggest Common Factor Method

Factors of 8382

List of positive integer factors of 8382 that divides 8382 without a remainder.

1,2,3,6,11,22,33,66,127,254,381,762,1397,2794,4191,8382

Factors of 7477

List of positive integer factors of 7477 that divides 7477 without a remainder.

1,7477

Greatest Common Factor

We found the factors 8382,7477 . The biggest common factor number is the GCF number.
So the greatest common factor 8382,7477 is 1.

Lets's calculate LCM of 304,654

2 304, 654
152, 327

∴ So the LCM of the given numbers is 2 x 152 x 327 = 99408

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/99408

Therefore, the GCF of Fractions 8382/304,7477/654 is 1/99408

Least Common Multiple of 304,654 with GCF Formula

Least Common Multiple of 304,654 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 304,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(304,654) = 2

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

GCF(304,654) x common factors =2 x 1 = 2

LCM(304,654) = ( 304 × 654 ) / 2

LCM(304,654) = 198816 / 2

LCM(304,654) = 99408


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 8382/304, 7477/654

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 8382/304, 7477/654?

Answer: GCF of Numerators as per given numbers 8382/304, 7477/654 is

GCF of Numerators i.e. for 8382,7477 is 1

LCM of denominators i.e. for 304,654 is 99408.

Thus, GCF of Fractions is 1/99408.Finally, GCF of Fractions for 8382/304, 7477/654 is 1/99408.