Greatest Common Factor of 255/4144, 549/1388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 255/4144, 549/1388

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 255/4144,549/1388

Given fractions are 255/4144,549/1388

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 255,549

Greatest Common Factor of Numerators i.e. GCF of 255,549 is 3 .

LCM of Denominators means LCM of 4144,1388 as per the given fractions.

LCM of 4144,1388 is 1437968 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 255,549

GCF of Fractions 255/4144,549/1388 is 3/1437968

3 255, 549
85, 183

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

Greatest Common Factor of 255,549 By Matching Biggest Common Factor Method

Greatest Common Factor of 255,549 By Matching Biggest Common Factor Method

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Greatest Common Factor

We found the factors 255,549 . The biggest common factor number is the GCF number.
So the greatest common factor 255,549 is 3.

Lets's calculate LCM of 4144,1388

2 4144, 1388
2 2072, 694
1036, 347

∴ So the LCM of the given numbers is 2 x 2 x 1036 x 347 = 1437968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1437968

Therefore, the GCF of Fractions 255/4144,549/1388 is 3/1437968

Least Common Multiple of 4144,1388 with GCF Formula

Least Common Multiple of 4144,1388 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 4144,1388 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4144,1388) = 4

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

GCF(4144,1388) x common factors =4 x 1 = 4

LCM(4144,1388) = ( 4144 × 1388 ) / 4

LCM(4144,1388) = 5751872 / 4

LCM(4144,1388) = 1437968


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 255/4144, 549/1388

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 255/4144, 549/1388?

Answer: GCF of Numerators as per given numbers 255/4144, 549/1388 is

GCF of Numerators i.e. for 255,549 is 3

LCM of denominators i.e. for 4144,1388 is 1437968.

Thus, GCF of Fractions is 3/1437968.Finally, GCF of Fractions for 255/4144, 549/1388 is 3/1437968.