Greatest Common Factor of 626/659, 8680/109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 626/659, 8680/109

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 626/659,8680/109

Given fractions are 626/659,8680/109

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 626,8680

Greatest Common Factor of Numerators i.e. GCF of 626,8680 is 2 .

LCM of Denominators means LCM of 659,109 as per the given fractions.

LCM of 659,109 is 71831 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 626,8680

GCF of Fractions 626/659,8680/109 is 2/71831

2 626, 8680
313, 4340

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 626,8680 By Matching Biggest Common Factor Method

Greatest Common Factor of 626,8680 By Matching Biggest Common Factor Method

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Factors of 8680

List of positive integer factors of 8680 that divides 8680 without a remainder.

1,2,4,5,7,8,10,14,20,28,31,35,40,56,62,70,124,140,155,217,248,280,310,434,620,868,1085,1240,1736,2170,4340,8680

Greatest Common Factor

We found the factors 626,8680 . The biggest common factor number is the GCF number.
So the greatest common factor 626,8680 is 2.

Lets's calculate LCM of 659,109

Given numbers has no common factors except 1. So, there LCM is their product i.e 71831

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/71831

Therefore, the GCF of Fractions 626/659,8680/109 is 2/71831

Least Common Multiple of 659,109 with GCF Formula

Least Common Multiple of 659,109 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 659,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(659,109) = 1

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

GCF(659,109) x common factors =1 x 1 = 1

LCM(659,109) = ( 659 × 109 ) / 1

LCM(659,109) = 71831 / 1

LCM(659,109) = 71831


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 626/659, 8680/109

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 626/659, 8680/109?

Answer: GCF of Numerators as per given numbers 626/659, 8680/109 is

GCF of Numerators i.e. for 626,8680 is 2

LCM of denominators i.e. for 659,109 is 71831.

Thus, GCF of Fractions is 2/71831.Finally, GCF of Fractions for 626/659, 8680/109 is 2/71831.