Greatest Common Factor of 3581/611, 9507/3974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3581/611, 9507/3974

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 3581/611,9507/3974

Given fractions are 3581/611,9507/3974

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 3581,9507

Greatest Common Factor of Numerators i.e. GCF of 3581,9507 is 1 .

LCM of Denominators means LCM of 611,3974 as per the given fractions.

LCM of 611,3974 is 2428114 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3581,9507

GCF of Fractions 3581/611,9507/3974 is 1/2428114

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3581,9507 By Matching Biggest Common Factor Method

Greatest Common Factor of 3581,9507 By Matching Biggest Common Factor Method

Factors of 3581

List of positive integer factors of 3581 that divides 3581 without a remainder.

1,3581

Factors of 9507

List of positive integer factors of 9507 that divides 9507 without a remainder.

1,3,3169,9507

Greatest Common Factor

We found the factors 3581,9507 . The biggest common factor number is the GCF number.
So the greatest common factor 3581,9507 is 1.

Lets's calculate LCM of 611,3974

Given numbers has no common factors except 1. So, there LCM is their product i.e 2428114

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2428114

Therefore, the GCF of Fractions 3581/611,9507/3974 is 1/2428114

Least Common Multiple of 611,3974 with GCF Formula

Least Common Multiple of 611,3974 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 611,3974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(611,3974) = 1

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

GCF(611,3974) x common factors =1 x 1 = 1

LCM(611,3974) = ( 611 × 3974 ) / 1

LCM(611,3974) = 2428114 / 1

LCM(611,3974) = 2428114


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 3581/611, 9507/3974

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 3581/611, 9507/3974?

Answer: GCF of Numerators as per given numbers 3581/611, 9507/3974 is

GCF of Numerators i.e. for 3581,9507 is 1

LCM of denominators i.e. for 611,3974 is 2428114.

Thus, GCF of Fractions is 1/2428114.Finally, GCF of Fractions for 3581/611, 9507/3974 is 1/2428114.