Greatest Common Factor of 5720/403, 5082/3264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5720/403, 5082/3264

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 5720/403,5082/3264

Given fractions are 5720/403,5082/3264

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 5720,5082

Greatest Common Factor of Numerators i.e. GCF of 5720,5082 is 22 .

LCM of Denominators means LCM of 403,3264 as per the given fractions.

LCM of 403,3264 is 1315392 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5720,5082

GCF of Fractions 5720/403,5082/3264 is 22/1315392

2 5720, 5082
11 2860, 2541
260, 231

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 5720,5082 By Matching Biggest Common Factor Method

Greatest Common Factor of 5720,5082 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 5082

List of positive integer factors of 5082 that divides 5082 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,121,154,231,242,363,462,726,847,1694,2541,5082

Greatest Common Factor

We found the factors 5720,5082 . The biggest common factor number is the GCF number.
So the greatest common factor 5720,5082 is 22.

Lets's calculate LCM of 403,3264

Given numbers has no common factors except 1. So, there LCM is their product i.e 1315392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/1315392

Therefore, the GCF of Fractions 5720/403,5082/3264 is 22/1315392

Least Common Multiple of 403,3264 with GCF Formula

Least Common Multiple of 403,3264 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 403,3264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(403,3264) = 1

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

GCF(403,3264) x common factors =1 x 1 = 1

LCM(403,3264) = ( 403 × 3264 ) / 1

LCM(403,3264) = 1315392 / 1

LCM(403,3264) = 1315392


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 5720/403, 5082/3264

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 5720/403, 5082/3264?

Answer: GCF of Numerators as per given numbers 5720/403, 5082/3264 is

GCF of Numerators i.e. for 5720,5082 is 22

LCM of denominators i.e. for 403,3264 is 1315392.

Thus, GCF of Fractions is 22/1315392.Finally, GCF of Fractions for 5720/403, 5082/3264 is 22/1315392.