Greatest Common Factor of 5720/328, 8184/157

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5720/328, 8184/157

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 5720/328,8184/157

Given fractions are 5720/328,8184/157

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 5720,8184

Greatest Common Factor of Numerators i.e. GCF of 5720,8184 is 88 .

LCM of Denominators means LCM of 328,157 as per the given fractions.

LCM of 328,157 is 51496 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5720,8184

GCF of Fractions 5720/328,8184/157 is 88/51496

2 5720, 8184
2 2860, 4092
2 1430, 2046
11 715, 1023
65, 93

∴ So the GCF of the given numbers is 2 x 2 x 2 x 11 = 88

Greatest Common Factor of 5720,8184 By Matching Biggest Common Factor Method

Greatest Common Factor of 5720,8184 By Matching Biggest Common Factor Method

Factors of 5720

List of positive integer factors of 5720 that divides 5720 without a remainder.

1,2,4,5,8,10,11,13,20,22,26,40,44,52,55,65,88,104,110,130,143,220,260,286,440,520,572,715,1144,1430,2860,5720

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

Greatest Common Factor

We found the factors 5720,8184 . The biggest common factor number is the GCF number.
So the greatest common factor 5720,8184 is 88.

Lets's calculate LCM of 328,157

Given numbers has no common factors except 1. So, there LCM is their product i.e 51496

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 88/51496

Therefore, the GCF of Fractions 5720/328,8184/157 is 88/51496

Least Common Multiple of 328,157 with GCF Formula

Least Common Multiple of 328,157 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 328,157 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(328,157) = 1

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

GCF(328,157) x common factors =1 x 1 = 1

LCM(328,157) = ( 328 × 157 ) / 1

LCM(328,157) = 51496 / 1

LCM(328,157) = 51496


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 5720/328, 8184/157

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 5720/328, 8184/157?

Answer: GCF of Numerators as per given numbers 5720/328, 8184/157 is

GCF of Numerators i.e. for 5720,8184 is 88

LCM of denominators i.e. for 328,157 is 51496.

Thus, GCF of Fractions is 88/51496.Finally, GCF of Fractions for 5720/328, 8184/157 is 88/51496.