Greatest Common Factor of 8184/551, 7479/307

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8184/551, 7479/307

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 8184/551,7479/307

Given fractions are 8184/551,7479/307

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 8184,7479

Greatest Common Factor of Numerators i.e. GCF of 8184,7479 is 3 .

LCM of Denominators means LCM of 551,307 as per the given fractions.

LCM of 551,307 is 169157 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8184,7479

GCF of Fractions 8184/551,7479/307 is 3/169157

3 8184, 7479
2728, 2493

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 8184,7479 By Matching Biggest Common Factor Method

Greatest Common Factor of 8184,7479 By Matching Biggest Common Factor Method

Factors of 8184

List of positive integer factors of 8184 that divides 8184 without a remainder.

1,2,3,4,6,8,11,12,22,24,31,33,44,62,66,88,93,124,132,186,248,264,341,372,682,744,1023,1364,2046,2728,4092,8184

Factors of 7479

List of positive integer factors of 7479 that divides 7479 without a remainder.

1,3,9,27,277,831,2493,7479

Greatest Common Factor

We found the factors 8184,7479 . The biggest common factor number is the GCF number.
So the greatest common factor 8184,7479 is 3.

Lets's calculate LCM of 551,307

Given numbers has no common factors except 1. So, there LCM is their product i.e 169157

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/169157

Therefore, the GCF of Fractions 8184/551,7479/307 is 3/169157

Least Common Multiple of 551,307 with GCF Formula

Least Common Multiple of 551,307 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 551,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(551,307) = 1

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

GCF(551,307) x common factors =1 x 1 = 1

LCM(551,307) = ( 551 × 307 ) / 1

LCM(551,307) = 169157 / 1

LCM(551,307) = 169157


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 8184/551, 7479/307

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 8184/551, 7479/307?

Answer: GCF of Numerators as per given numbers 8184/551, 7479/307 is

GCF of Numerators i.e. for 8184,7479 is 3

LCM of denominators i.e. for 551,307 is 169157.

Thus, GCF of Fractions is 3/169157.Finally, GCF of Fractions for 8184/551, 7479/307 is 3/169157.