Greatest Common Factor of 7609/32, 5148/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7609/32, 5148/170

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 7609/32,5148/170

Given fractions are 7609/32,5148/170

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 7609,5148

Greatest Common Factor of Numerators i.e. GCF of 7609,5148 is 1 .

LCM of Denominators means LCM of 32,170 as per the given fractions.

LCM of 32,170 is 2720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7609,5148

GCF of Fractions 7609/32,5148/170 is 1/2720

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7609,5148 By Matching Biggest Common Factor Method

Greatest Common Factor of 7609,5148 By Matching Biggest Common Factor Method

Factors of 7609

List of positive integer factors of 7609 that divides 7609 without a remainder.

1,7,1087,7609

Factors of 5148

List of positive integer factors of 5148 that divides 5148 without a remainder.

1,2,3,4,6,9,11,12,13,18,22,26,33,36,39,44,52,66,78,99,117,132,143,156,198,234,286,396,429,468,572,858,1287,1716,2574,5148

Greatest Common Factor

We found the factors 7609,5148 . The biggest common factor number is the GCF number.
So the greatest common factor 7609,5148 is 1.

Lets's calculate LCM of 32,170

2 32, 170
16, 85

∴ So the LCM of the given numbers is 2 x 16 x 85 = 2720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2720

Therefore, the GCF of Fractions 7609/32,5148/170 is 1/2720

Least Common Multiple of 32,170 with GCF Formula

Least Common Multiple of 32,170 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 32,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,170) = 2

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

GCF(32,170) x common factors =2 x 1 = 2

LCM(32,170) = ( 32 × 170 ) / 2

LCM(32,170) = 5440 / 2

LCM(32,170) = 2720


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 7609/32, 5148/170

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 7609/32, 5148/170?

Answer: GCF of Numerators as per given numbers 7609/32, 5148/170 is

GCF of Numerators i.e. for 7609,5148 is 1

LCM of denominators i.e. for 32,170 is 2720.

Thus, GCF of Fractions is 1/2720.Finally, GCF of Fractions for 7609/32, 5148/170 is 1/2720.