Greatest Common Factor of 4384/277, 5616/631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4384/277, 5616/631

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 4384/277,5616/631

Given fractions are 4384/277,5616/631

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 4384,5616

Greatest Common Factor of Numerators i.e. GCF of 4384,5616 is 16 .

LCM of Denominators means LCM of 277,631 as per the given fractions.

LCM of 277,631 is 174787 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4384,5616

GCF of Fractions 4384/277,5616/631 is 16/174787

2 4384, 5616
2 2192, 2808
2 1096, 1404
2 548, 702
274, 351

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 4384,5616 By Matching Biggest Common Factor Method

Greatest Common Factor of 4384,5616 By Matching Biggest Common Factor Method

Factors of 4384

List of positive integer factors of 4384 that divides 4384 without a remainder.

1,2,4,8,16,32,137,274,548,1096,2192,4384

Factors of 5616

List of positive integer factors of 5616 that divides 5616 without a remainder.

1,2,3,4,6,8,9,12,13,16,18,24,26,27,36,39,48,52,54,72,78,104,108,117,144,156,208,216,234,312,351,432,468,624,702,936,1404,1872,2808,5616

Greatest Common Factor

We found the factors 4384,5616 . The biggest common factor number is the GCF number.
So the greatest common factor 4384,5616 is 16.

Lets's calculate LCM of 277,631

Given numbers has no common factors except 1. So, there LCM is their product i.e 174787

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/174787

Therefore, the GCF of Fractions 4384/277,5616/631 is 16/174787

Least Common Multiple of 277,631 with GCF Formula

Least Common Multiple of 277,631 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 277,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(277,631) = 1

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

GCF(277,631) x common factors =1 x 1 = 1

LCM(277,631) = ( 277 × 631 ) / 1

LCM(277,631) = 174787 / 1

LCM(277,631) = 174787


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 4384/277, 5616/631

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 4384/277, 5616/631?

Answer: GCF of Numerators as per given numbers 4384/277, 5616/631 is

GCF of Numerators i.e. for 4384,5616 is 16

LCM of denominators i.e. for 277,631 is 174787.

Thus, GCF of Fractions is 16/174787.Finally, GCF of Fractions for 4384/277, 5616/631 is 16/174787.