Greatest Common Factor of 8626/71, 7043/630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8626/71, 7043/630

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 8626/71,7043/630

Given fractions are 8626/71,7043/630

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 8626,7043

Greatest Common Factor of Numerators i.e. GCF of 8626,7043 is 1 .

LCM of Denominators means LCM of 71,630 as per the given fractions.

LCM of 71,630 is 44730 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8626,7043

GCF of Fractions 8626/71,7043/630 is 1/44730

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

Greatest Common Factor of 8626,7043 By Matching Biggest Common Factor Method

Greatest Common Factor of 8626,7043 By Matching Biggest Common Factor Method

Factors of 8626

List of positive integer factors of 8626 that divides 8626 without a remainder.

1,2,19,38,227,454,4313,8626

Factors of 7043

List of positive integer factors of 7043 that divides 7043 without a remainder.

1,7043

Greatest Common Factor

We found the factors 8626,7043 . The biggest common factor number is the GCF number.
So the greatest common factor 8626,7043 is 1.

Lets's calculate LCM of 71,630

Given numbers has no common factors except 1. So, there LCM is their product i.e 44730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44730

Therefore, the GCF of Fractions 8626/71,7043/630 is 1/44730

Least Common Multiple of 71,630 with GCF Formula

Least Common Multiple of 71,630 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 71,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,630) = 1

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

GCF(71,630) x common factors =1 x 1 = 1

LCM(71,630) = ( 71 × 630 ) / 1

LCM(71,630) = 44730 / 1

LCM(71,630) = 44730


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 8626/71, 7043/630

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 8626/71, 7043/630?

Answer: GCF of Numerators as per given numbers 8626/71, 7043/630 is

GCF of Numerators i.e. for 8626,7043 is 1

LCM of denominators i.e. for 71,630 is 44730.

Thus, GCF of Fractions is 1/44730.Finally, GCF of Fractions for 8626/71, 7043/630 is 1/44730.