Greatest Common Factor of 624/37, 3731/995

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 624/37, 3731/995

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 624/37,3731/995

Given fractions are 624/37,3731/995

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 624,3731

Greatest Common Factor of Numerators i.e. GCF of 624,3731 is 13 .

LCM of Denominators means LCM of 37,995 as per the given fractions.

LCM of 37,995 is 36815 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 624,3731

GCF of Fractions 624/37,3731/995 is 13/36815

13 624, 3731
48, 287

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 624,3731 By Matching Biggest Common Factor Method

Greatest Common Factor of 624,3731 By Matching Biggest Common Factor Method

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Factors of 3731

List of positive integer factors of 3731 that divides 3731 without a remainder.

1,7,13,41,91,287,533,3731

Greatest Common Factor

We found the factors 624,3731 . The biggest common factor number is the GCF number.
So the greatest common factor 624,3731 is 13.

Lets's calculate LCM of 37,995

Given numbers has no common factors except 1. So, there LCM is their product i.e 36815

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/36815

Therefore, the GCF of Fractions 624/37,3731/995 is 13/36815

Least Common Multiple of 37,995 with GCF Formula

Least Common Multiple of 37,995 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 37,995 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,995) = 1

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

GCF(37,995) x common factors =1 x 1 = 1

LCM(37,995) = ( 37 × 995 ) / 1

LCM(37,995) = 36815 / 1

LCM(37,995) = 36815


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 624/37, 3731/995

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 624/37, 3731/995?

Answer: GCF of Numerators as per given numbers 624/37, 3731/995 is

GCF of Numerators i.e. for 624,3731 is 13

LCM of denominators i.e. for 37,995 is 36815.

Thus, GCF of Fractions is 13/36815.Finally, GCF of Fractions for 624/37, 3731/995 is 13/36815.