Greatest Common Factor of 1602/991, 7082/197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1602/991, 7082/197

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 1602/991,7082/197

Given fractions are 1602/991,7082/197

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 1602,7082

Greatest Common Factor of Numerators i.e. GCF of 1602,7082 is 2 .

LCM of Denominators means LCM of 991,197 as per the given fractions.

LCM of 991,197 is 195227 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1602,7082

GCF of Fractions 1602/991,7082/197 is 2/195227

2 1602, 7082
801, 3541

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

Greatest Common Factor of 1602,7082 By Matching Biggest Common Factor Method

Greatest Common Factor of 1602,7082 By Matching Biggest Common Factor Method

Factors of 1602

List of positive integer factors of 1602 that divides 1602 without a remainder.

1,2,3,6,9,18,89,178,267,534,801,1602

Factors of 7082

List of positive integer factors of 7082 that divides 7082 without a remainder.

1,2,3541,7082

Greatest Common Factor

We found the factors 1602,7082 . The biggest common factor number is the GCF number.
So the greatest common factor 1602,7082 is 2.

Lets's calculate LCM of 991,197

Given numbers has no common factors except 1. So, there LCM is their product i.e 195227

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/195227

Therefore, the GCF of Fractions 1602/991,7082/197 is 2/195227

Least Common Multiple of 991,197 with GCF Formula

Least Common Multiple of 991,197 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 991,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(991,197) = 1

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

GCF(991,197) x common factors =1 x 1 = 1

LCM(991,197) = ( 991 × 197 ) / 1

LCM(991,197) = 195227 / 1

LCM(991,197) = 195227


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 1602/991, 7082/197

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 1602/991, 7082/197?

Answer: GCF of Numerators as per given numbers 1602/991, 7082/197 is

GCF of Numerators i.e. for 1602,7082 is 2

LCM of denominators i.e. for 991,197 is 195227.

Thus, GCF of Fractions is 2/195227.Finally, GCF of Fractions for 1602/991, 7082/197 is 2/195227.