Greatest Common Factor of 3753/94, 1509/623

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3753/94, 1509/623

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 3753/94,1509/623

Given fractions are 3753/94,1509/623

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 3753,1509

Greatest Common Factor of Numerators i.e. GCF of 3753,1509 is 3 .

LCM of Denominators means LCM of 94,623 as per the given fractions.

LCM of 94,623 is 58562 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3753,1509

GCF of Fractions 3753/94,1509/623 is 3/58562

3 3753, 1509
1251, 503

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

Greatest Common Factor of 3753,1509 By Matching Biggest Common Factor Method

Greatest Common Factor of 3753,1509 By Matching Biggest Common Factor Method

Factors of 3753

List of positive integer factors of 3753 that divides 3753 without a remainder.

1,3,9,27,139,417,1251,3753

Factors of 1509

List of positive integer factors of 1509 that divides 1509 without a remainder.

1,3,503,1509

Greatest Common Factor

We found the factors 3753,1509 . The biggest common factor number is the GCF number.
So the greatest common factor 3753,1509 is 3.

Lets's calculate LCM of 94,623

Given numbers has no common factors except 1. So, there LCM is their product i.e 58562

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/58562

Therefore, the GCF of Fractions 3753/94,1509/623 is 3/58562

Least Common Multiple of 94,623 with GCF Formula

Least Common Multiple of 94,623 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 94,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,623) = 1

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

GCF(94,623) x common factors =1 x 1 = 1

LCM(94,623) = ( 94 × 623 ) / 1

LCM(94,623) = 58562 / 1

LCM(94,623) = 58562


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 3753/94, 1509/623

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 3753/94, 1509/623?

Answer: GCF of Numerators as per given numbers 3753/94, 1509/623 is

GCF of Numerators i.e. for 3753,1509 is 3

LCM of denominators i.e. for 94,623 is 58562.

Thus, GCF of Fractions is 3/58562.Finally, GCF of Fractions for 3753/94, 1509/623 is 3/58562.