Greatest Common Factor of 1626/40, 9671/555

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1626/40, 9671/555

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 1626/40,9671/555

Given fractions are 1626/40,9671/555

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 1626,9671

Greatest Common Factor of Numerators i.e. GCF of 1626,9671 is 1 .

LCM of Denominators means LCM of 40,555 as per the given fractions.

LCM of 40,555 is 4440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1626,9671

GCF of Fractions 1626/40,9671/555 is 1/4440

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

Greatest Common Factor of 1626,9671 By Matching Biggest Common Factor Method

Greatest Common Factor of 1626,9671 By Matching Biggest Common Factor Method

Factors of 1626

List of positive integer factors of 1626 that divides 1626 without a remainder.

1,2,3,6,271,542,813,1626

Factors of 9671

List of positive integer factors of 9671 that divides 9671 without a remainder.

1,19,509,9671

Greatest Common Factor

We found the factors 1626,9671 . The biggest common factor number is the GCF number.
So the greatest common factor 1626,9671 is 1.

Lets's calculate LCM of 40,555

5 40, 555
8, 111

∴ So the LCM of the given numbers is 5 x 8 x 111 = 4440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4440

Therefore, the GCF of Fractions 1626/40,9671/555 is 1/4440

Least Common Multiple of 40,555 with GCF Formula

Least Common Multiple of 40,555 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 40,555 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,555) = 5

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

GCF(40,555) x common factors =5 x 1 = 5

LCM(40,555) = ( 40 × 555 ) / 5

LCM(40,555) = 22200 / 5

LCM(40,555) = 4440


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 1626/40, 9671/555

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 1626/40, 9671/555?

Answer: GCF of Numerators as per given numbers 1626/40, 9671/555 is

GCF of Numerators i.e. for 1626,9671 is 1

LCM of denominators i.e. for 40,555 is 4440.

Thus, GCF of Fractions is 1/4440.Finally, GCF of Fractions for 1626/40, 9671/555 is 1/4440.