Greatest Common Factor of 731/1259, 680/6870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 731/1259, 680/6870

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 731/1259,680/6870

Given fractions are 731/1259,680/6870

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 731,680

Greatest Common Factor of Numerators i.e. GCF of 731,680 is 17 .

LCM of Denominators means LCM of 1259,6870 as per the given fractions.

LCM of 1259,6870 is 8649330 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 731,680

GCF of Fractions 731/1259,680/6870 is 17/8649330

17 731, 680
43, 40

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 731,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 731,680 By Matching Biggest Common Factor Method

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 731,680 . The biggest common factor number is the GCF number.
So the greatest common factor 731,680 is 17.

Lets's calculate LCM of 1259,6870

Given numbers has no common factors except 1. So, there LCM is their product i.e 8649330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/8649330

Therefore, the GCF of Fractions 731/1259,680/6870 is 17/8649330

Least Common Multiple of 1259,6870 with GCF Formula

Least Common Multiple of 1259,6870 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 1259,6870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1259,6870) = 1

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

GCF(1259,6870) x common factors =1 x 1 = 1

LCM(1259,6870) = ( 1259 × 6870 ) / 1

LCM(1259,6870) = 8649330 / 1

LCM(1259,6870) = 8649330


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 731/1259, 680/6870

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 731/1259, 680/6870?

Answer: GCF of Numerators as per given numbers 731/1259, 680/6870 is

GCF of Numerators i.e. for 731,680 is 17

LCM of denominators i.e. for 1259,6870 is 8649330.

Thus, GCF of Fractions is 17/8649330.Finally, GCF of Fractions for 731/1259, 680/6870 is 17/8649330.