Greatest Common Factor of 3832/631, 1516/6399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3832/631, 1516/6399

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 3832/631,1516/6399

Given fractions are 3832/631,1516/6399

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 3832,1516

Greatest Common Factor of Numerators i.e. GCF of 3832,1516 is 4 .

LCM of Denominators means LCM of 631,6399 as per the given fractions.

LCM of 631,6399 is 4037769 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3832,1516

GCF of Fractions 3832/631,1516/6399 is 4/4037769

2 3832, 1516
2 1916, 758
958, 379

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 3832,1516 By Matching Biggest Common Factor Method

Greatest Common Factor of 3832,1516 By Matching Biggest Common Factor Method

Factors of 3832

List of positive integer factors of 3832 that divides 3832 without a remainder.

1,2,4,8,479,958,1916,3832

Factors of 1516

List of positive integer factors of 1516 that divides 1516 without a remainder.

1,2,4,379,758,1516

Greatest Common Factor

We found the factors 3832,1516 . The biggest common factor number is the GCF number.
So the greatest common factor 3832,1516 is 4.

Lets's calculate LCM of 631,6399

Given numbers has no common factors except 1. So, there LCM is their product i.e 4037769

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4037769

Therefore, the GCF of Fractions 3832/631,1516/6399 is 4/4037769

Least Common Multiple of 631,6399 with GCF Formula

Least Common Multiple of 631,6399 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 631,6399 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(631,6399) = 1

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

GCF(631,6399) x common factors =1 x 1 = 1

LCM(631,6399) = ( 631 × 6399 ) / 1

LCM(631,6399) = 4037769 / 1

LCM(631,6399) = 4037769


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 3832/631, 1516/6399

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 3832/631, 1516/6399?

Answer: GCF of Numerators as per given numbers 3832/631, 1516/6399 is

GCF of Numerators i.e. for 3832,1516 is 4

LCM of denominators i.e. for 631,6399 is 4037769.

Thus, GCF of Fractions is 4/4037769.Finally, GCF of Fractions for 3832/631, 1516/6399 is 4/4037769.