Greatest Common Factor of 860/685, 2744/499

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 860/685, 2744/499

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 860/685,2744/499

Given fractions are 860/685,2744/499

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 860,2744

Greatest Common Factor of Numerators i.e. GCF of 860,2744 is 4 .

LCM of Denominators means LCM of 685,499 as per the given fractions.

LCM of 685,499 is 341815 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 860,2744

GCF of Fractions 860/685,2744/499 is 4/341815

2 860, 2744
2 430, 1372
215, 686

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

Greatest Common Factor of 860,2744 By Matching Biggest Common Factor Method

Greatest Common Factor of 860,2744 By Matching Biggest Common Factor Method

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Factors of 2744

List of positive integer factors of 2744 that divides 2744 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,343,392,686,1372,2744

Greatest Common Factor

We found the factors 860,2744 . The biggest common factor number is the GCF number.
So the greatest common factor 860,2744 is 4.

Lets's calculate LCM of 685,499

Given numbers has no common factors except 1. So, there LCM is their product i.e 341815

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/341815

Therefore, the GCF of Fractions 860/685,2744/499 is 4/341815

Least Common Multiple of 685,499 with GCF Formula

Least Common Multiple of 685,499 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 685,499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(685,499) = 1

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

GCF(685,499) x common factors =1 x 1 = 1

LCM(685,499) = ( 685 × 499 ) / 1

LCM(685,499) = 341815 / 1

LCM(685,499) = 341815


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 860/685, 2744/499

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 860/685, 2744/499?

Answer: GCF of Numerators as per given numbers 860/685, 2744/499 is

GCF of Numerators i.e. for 860,2744 is 4

LCM of denominators i.e. for 685,499 is 341815.

Thus, GCF of Fractions is 4/341815.Finally, GCF of Fractions for 860/685, 2744/499 is 4/341815.