Greatest Common Factor of 125/843, 665/802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 125/843, 665/802

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 125/843,665/802

Given fractions are 125/843,665/802

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 125,665

Greatest Common Factor of Numerators i.e. GCF of 125,665 is 5 .

LCM of Denominators means LCM of 843,802 as per the given fractions.

LCM of 843,802 is 676086 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 125,665

GCF of Fractions 125/843,665/802 is 5/676086

5 125, 665
25, 133

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 125,665 By Matching Biggest Common Factor Method

Greatest Common Factor of 125,665 By Matching Biggest Common Factor Method

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Greatest Common Factor

We found the factors 125,665 . The biggest common factor number is the GCF number.
So the greatest common factor 125,665 is 5.


Lets's calculate LCM of 843,802

Given numbers has no common factors except 1. So, there LCM is their product i.e 676086

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/676086

Therefore, the GCF of Fractions 125/843,665/802 is 5/676086

Least Common Multiple of 843,802 with GCF Formula

Least Common Multiple of 843,802 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 843,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(843,802) = 1

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

GCF(843,802) x common factors =1 x 1 = 1

LCM(843,802) = ( 843 × 802 ) / 1

LCM(843,802) = 676086 / 1

LCM(843,802) = 676086


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 125/843, 665/802

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 125/843, 665/802?

Answer: GCF of Numerators as per given numbers 125/843, 665/802 is

GCF of Numerators i.e. for 125,665 is 5

LCM of denominators i.e. for 843,802 is 676086.

Thus, GCF of Fractions is 5/676086.Finally, GCF of Fractions for 125/843, 665/802 is 5/676086.