Greatest Common Factor of 3654/30, 5036/373

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3654/30, 5036/373

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 3654/30,5036/373

Given fractions are 3654/30,5036/373

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 3654,5036

Greatest Common Factor of Numerators i.e. GCF of 3654,5036 is 2 .

LCM of Denominators means LCM of 30,373 as per the given fractions.

LCM of 30,373 is 11190 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3654,5036

GCF of Fractions 3654/30,5036/373 is 2/11190

2 3654, 5036
1827, 2518

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

Greatest Common Factor of 3654,5036 By Matching Biggest Common Factor Method

Greatest Common Factor of 3654,5036 By Matching Biggest Common Factor Method

Factors of 3654

List of positive integer factors of 3654 that divides 3654 without a remainder.

1,2,3,6,7,9,14,18,21,29,42,58,63,87,126,174,203,261,406,522,609,1218,1827,3654

Factors of 5036

List of positive integer factors of 5036 that divides 5036 without a remainder.

1,2,4,1259,2518,5036

Greatest Common Factor

We found the factors 3654,5036 . The biggest common factor number is the GCF number.
So the greatest common factor 3654,5036 is 2.

Lets's calculate LCM of 30,373

Given numbers has no common factors except 1. So, there LCM is their product i.e 11190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11190

Therefore, the GCF of Fractions 3654/30,5036/373 is 2/11190

Least Common Multiple of 30,373 with GCF Formula

Least Common Multiple of 30,373 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 30,373 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,373) = 1

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

GCF(30,373) x common factors =1 x 1 = 1

LCM(30,373) = ( 30 × 373 ) / 1

LCM(30,373) = 11190 / 1

LCM(30,373) = 11190


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 3654/30, 5036/373

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 3654/30, 5036/373?

Answer: GCF of Numerators as per given numbers 3654/30, 5036/373 is

GCF of Numerators i.e. for 3654,5036 is 2

LCM of denominators i.e. for 30,373 is 11190.

Thus, GCF of Fractions is 2/11190.Finally, GCF of Fractions for 3654/30, 5036/373 is 2/11190.