Greatest Common Factor of 602/884, 1075/843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 602/884, 1075/843

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 602/884,1075/843

Given fractions are 602/884,1075/843

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 602,1075

Greatest Common Factor of Numerators i.e. GCF of 602,1075 is 43 .

LCM of Denominators means LCM of 884,843 as per the given fractions.

LCM of 884,843 is 745212 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 602,1075

GCF of Fractions 602/884,1075/843 is 43/745212

43 602, 1075
14, 25

∴ So the GCF of the given numbers is 43 = 43

Greatest Common Factor of 602,1075 By Matching Biggest Common Factor Method

Greatest Common Factor of 602,1075 By Matching Biggest Common Factor Method

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 1075

List of positive integer factors of 1075 that divides 1075 without a remainder.

1,5,25,43,215,1075

Greatest Common Factor

We found the factors 602,1075 . The biggest common factor number is the GCF number.
So the greatest common factor 602,1075 is 43.


Lets's calculate LCM of 884,843

Given numbers has no common factors except 1. So, there LCM is their product i.e 745212

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 43/745212

Therefore, the GCF of Fractions 602/884,1075/843 is 43/745212

Least Common Multiple of 884,843 with GCF Formula

Least Common Multiple of 884,843 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 884,843 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(884,843) = 1

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

GCF(884,843) x common factors =1 x 1 = 1

LCM(884,843) = ( 884 × 843 ) / 1

LCM(884,843) = 745212 / 1

LCM(884,843) = 745212


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 602/884, 1075/843

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 602/884, 1075/843?

Answer: GCF of Numerators as per given numbers 602/884, 1075/843 is

GCF of Numerators i.e. for 602,1075 is 43

LCM of denominators i.e. for 884,843 is 745212.

Thus, GCF of Fractions is 43/745212.Finally, GCF of Fractions for 602/884, 1075/843 is 43/745212.