Greatest Common Factor of 2584/385, 4216/5468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2584/385, 4216/5468

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 2584/385,4216/5468

Given fractions are 2584/385,4216/5468

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 2584,4216

Greatest Common Factor of Numerators i.e. GCF of 2584,4216 is 136 .

LCM of Denominators means LCM of 385,5468 as per the given fractions.

LCM of 385,5468 is 2105180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2584,4216

GCF of Fractions 2584/385,4216/5468 is 136/2105180

2 2584, 4216
2 1292, 2108
2 646, 1054
17 323, 527
19, 31

∴ So the GCF of the given numbers is 2 x 2 x 2 x 17 = 136

Greatest Common Factor of 2584,4216 By Matching Biggest Common Factor Method

Greatest Common Factor of 2584,4216 By Matching Biggest Common Factor Method

Factors of 2584

List of positive integer factors of 2584 that divides 2584 without a remainder.

1,2,4,8,17,19,34,38,68,76,136,152,323,646,1292,2584

Factors of 4216

List of positive integer factors of 4216 that divides 4216 without a remainder.

1,2,4,8,17,31,34,62,68,124,136,248,527,1054,2108,4216

Greatest Common Factor

We found the factors 2584,4216 . The biggest common factor number is the GCF number.
So the greatest common factor 2584,4216 is 136.

Lets's calculate LCM of 385,5468

Given numbers has no common factors except 1. So, there LCM is their product i.e 2105180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 136/2105180

Therefore, the GCF of Fractions 2584/385,4216/5468 is 136/2105180

Least Common Multiple of 385,5468 with GCF Formula

Least Common Multiple of 385,5468 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 385,5468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(385,5468) = 1

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

GCF(385,5468) x common factors =1 x 1 = 1

LCM(385,5468) = ( 385 × 5468 ) / 1

LCM(385,5468) = 2105180 / 1

LCM(385,5468) = 2105180


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 2584/385, 4216/5468

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 2584/385, 4216/5468?

Answer: GCF of Numerators as per given numbers 2584/385, 4216/5468 is

GCF of Numerators i.e. for 2584,4216 is 136

LCM of denominators i.e. for 385,5468 is 2105180.

Thus, GCF of Fractions is 136/2105180.Finally, GCF of Fractions for 2584/385, 4216/5468 is 136/2105180.