Greatest Common Factor of 680/874, 9716/749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 680/874, 9716/749

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 680/874,9716/749

Given fractions are 680/874,9716/749

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 680,9716

Greatest Common Factor of Numerators i.e. GCF of 680,9716 is 4 .

LCM of Denominators means LCM of 874,749 as per the given fractions.

LCM of 874,749 is 654626 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 680,9716

GCF of Fractions 680/874,9716/749 is 4/654626

2 680, 9716
2 340, 4858
170, 2429

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 680,9716 By Matching Biggest Common Factor Method

Greatest Common Factor of 680,9716 By Matching Biggest Common Factor Method

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

Factors of 9716

List of positive integer factors of 9716 that divides 9716 without a remainder.

1,2,4,7,14,28,347,694,1388,2429,4858,9716

Greatest Common Factor

We found the factors 680,9716 . The biggest common factor number is the GCF number.
So the greatest common factor 680,9716 is 4.

Lets's calculate LCM of 874,749

Given numbers has no common factors except 1. So, there LCM is their product i.e 654626

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/654626

Therefore, the GCF of Fractions 680/874,9716/749 is 4/654626

Least Common Multiple of 874,749 with GCF Formula

Least Common Multiple of 874,749 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 874,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(874,749) = 1

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

GCF(874,749) x common factors =1 x 1 = 1

LCM(874,749) = ( 874 × 749 ) / 1

LCM(874,749) = 654626 / 1

LCM(874,749) = 654626


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 680/874, 9716/749

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 680/874, 9716/749?

Answer: GCF of Numerators as per given numbers 680/874, 9716/749 is

GCF of Numerators i.e. for 680,9716 is 4

LCM of denominators i.e. for 874,749 is 654626.

Thus, GCF of Fractions is 4/654626.Finally, GCF of Fractions for 680/874, 9716/749 is 4/654626.