Greatest Common Factor of 8480/682, 5814/846

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8480/682, 5814/846

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 8480/682,5814/846

Given fractions are 8480/682,5814/846

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 8480,5814

Greatest Common Factor of Numerators i.e. GCF of 8480,5814 is 2 .

LCM of Denominators means LCM of 682,846 as per the given fractions.

LCM of 682,846 is 288486 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8480,5814

GCF of Fractions 8480/682,5814/846 is 2/288486

2 8480, 5814
4240, 2907

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

Greatest Common Factor of 8480,5814 By Matching Biggest Common Factor Method

Greatest Common Factor of 8480,5814 By Matching Biggest Common Factor Method

Factors of 8480

List of positive integer factors of 8480 that divides 8480 without a remainder.

1,2,4,5,8,10,16,20,32,40,53,80,106,160,212,265,424,530,848,1060,1696,2120,4240,8480

Factors of 5814

List of positive integer factors of 5814 that divides 5814 without a remainder.

1,2,3,6,9,17,18,19,34,38,51,57,102,114,153,171,306,323,342,646,969,1938,2907,5814

Greatest Common Factor

We found the factors 8480,5814 . The biggest common factor number is the GCF number.
So the greatest common factor 8480,5814 is 2.

Lets's calculate LCM of 682,846

2 682, 846
341, 423

∴ So the LCM of the given numbers is 2 x 341 x 423 = 288486

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/288486

Therefore, the GCF of Fractions 8480/682,5814/846 is 2/288486

Least Common Multiple of 682,846 with GCF Formula

Least Common Multiple of 682,846 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 682,846 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(682,846) = 2

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

GCF(682,846) x common factors =2 x 1 = 2

LCM(682,846) = ( 682 × 846 ) / 2

LCM(682,846) = 576972 / 2

LCM(682,846) = 288486


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 8480/682, 5814/846

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 8480/682, 5814/846?

Answer: GCF of Numerators as per given numbers 8480/682, 5814/846 is

GCF of Numerators i.e. for 8480,5814 is 2

LCM of denominators i.e. for 682,846 is 288486.

Thus, GCF of Fractions is 2/288486.Finally, GCF of Fractions for 8480/682, 5814/846 is 2/288486.