Greatest Common Factor of 680/80, 5848/879

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 680/80, 5848/879

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 680/80,5848/879

Given fractions are 680/80,5848/879

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 680,5848

Greatest Common Factor of Numerators i.e. GCF of 680,5848 is 136 .

LCM of Denominators means LCM of 80,879 as per the given fractions.

LCM of 80,879 is 70320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 680,5848

GCF of Fractions 680/80,5848/879 is 136/70320

2 680, 5848
2 340, 2924
2 170, 1462
17 85, 731
5, 43

∴ So the GCF of the given numbers is 2 x 2 x 2 x 17 = 136

Greatest Common Factor of 680,5848 By Matching Biggest Common Factor Method

Greatest Common Factor of 680,5848 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 5848

List of positive integer factors of 5848 that divides 5848 without a remainder.

1,2,4,8,17,34,43,68,86,136,172,344,731,1462,2924,5848

Greatest Common Factor

We found the factors 680,5848 . The biggest common factor number is the GCF number.
So the greatest common factor 680,5848 is 136.

Lets's calculate LCM of 80,879

Given numbers has no common factors except 1. So, there LCM is their product i.e 70320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 136/70320

Therefore, the GCF of Fractions 680/80,5848/879 is 136/70320

Least Common Multiple of 80,879 with GCF Formula

Least Common Multiple of 80,879 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 80,879 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,879) = 1

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

GCF(80,879) x common factors =1 x 1 = 1

LCM(80,879) = ( 80 × 879 ) / 1

LCM(80,879) = 70320 / 1

LCM(80,879) = 70320


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 680/80, 5848/879

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 680/80, 5848/879?

Answer: GCF of Numerators as per given numbers 680/80, 5848/879 is

GCF of Numerators i.e. for 680,5848 is 136

LCM of denominators i.e. for 80,879 is 70320.

Thus, GCF of Fractions is 136/70320.Finally, GCF of Fractions for 680/80, 5848/879 is 136/70320.