Greatest Common Factor of 921/49, 3609/505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 921/49, 3609/505

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 921/49,3609/505

Given fractions are 921/49,3609/505

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 921,3609

Greatest Common Factor of Numerators i.e. GCF of 921,3609 is 3 .

LCM of Denominators means LCM of 49,505 as per the given fractions.

LCM of 49,505 is 24745 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 921,3609

GCF of Fractions 921/49,3609/505 is 3/24745

3 921, 3609
307, 1203

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

Greatest Common Factor of 921,3609 By Matching Biggest Common Factor Method

Greatest Common Factor of 921,3609 By Matching Biggest Common Factor Method

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Factors of 3609

List of positive integer factors of 3609 that divides 3609 without a remainder.

1,3,9,401,1203,3609

Greatest Common Factor

We found the factors 921,3609 . The biggest common factor number is the GCF number.
So the greatest common factor 921,3609 is 3.

Lets's calculate LCM of 49,505

Given numbers has no common factors except 1. So, there LCM is their product i.e 24745

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/24745

Therefore, the GCF of Fractions 921/49,3609/505 is 3/24745

Least Common Multiple of 49,505 with GCF Formula

Least Common Multiple of 49,505 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 49,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,505) = 1

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

GCF(49,505) x common factors =1 x 1 = 1

LCM(49,505) = ( 49 × 505 ) / 1

LCM(49,505) = 24745 / 1

LCM(49,505) = 24745


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 921/49, 3609/505

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 921/49, 3609/505?

Answer: GCF of Numerators as per given numbers 921/49, 3609/505 is

GCF of Numerators i.e. for 921,3609 is 3

LCM of denominators i.e. for 49,505 is 24745.

Thus, GCF of Fractions is 3/24745.Finally, GCF of Fractions for 921/49, 3609/505 is 3/24745.