Greatest Common Factor of 9618/85, 7602/171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9618/85, 7602/171

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 9618/85,7602/171

Given fractions are 9618/85,7602/171

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 9618,7602

Greatest Common Factor of Numerators i.e. GCF of 9618,7602 is 42 .

LCM of Denominators means LCM of 85,171 as per the given fractions.

LCM of 85,171 is 14535 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9618,7602

GCF of Fractions 9618/85,7602/171 is 42/14535

2 9618, 7602
3 4809, 3801
7 1603, 1267
229, 181

∴ So the GCF of the given numbers is 2 x 3 x 7 = 42

Greatest Common Factor of 9618,7602 By Matching Biggest Common Factor Method

Greatest Common Factor of 9618,7602 By Matching Biggest Common Factor Method

Factors of 9618

List of positive integer factors of 9618 that divides 9618 without a remainder.

1,2,3,6,7,14,21,42,229,458,687,1374,1603,3206,4809,9618

Factors of 7602

List of positive integer factors of 7602 that divides 7602 without a remainder.

1,2,3,6,7,14,21,42,181,362,543,1086,1267,2534,3801,7602

Greatest Common Factor

We found the factors 9618,7602 . The biggest common factor number is the GCF number.
So the greatest common factor 9618,7602 is 42.

Lets's calculate LCM of 85,171

Given numbers has no common factors except 1. So, there LCM is their product i.e 14535

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 42/14535

Therefore, the GCF of Fractions 9618/85,7602/171 is 42/14535

Least Common Multiple of 85,171 with GCF Formula

Least Common Multiple of 85,171 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 85,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,171) = 1

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

GCF(85,171) x common factors =1 x 1 = 1

LCM(85,171) = ( 85 × 171 ) / 1

LCM(85,171) = 14535 / 1

LCM(85,171) = 14535


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 9618/85, 7602/171

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 9618/85, 7602/171?

Answer: GCF of Numerators as per given numbers 9618/85, 7602/171 is

GCF of Numerators i.e. for 9618,7602 is 42

LCM of denominators i.e. for 85,171 is 14535.

Thus, GCF of Fractions is 42/14535.Finally, GCF of Fractions for 9618/85, 7602/171 is 42/14535.