Greatest Common Factor of 617/42, 9319/580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 617/42, 9319/580

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 617/42,9319/580

Given fractions are 617/42,9319/580

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 617,9319

Greatest Common Factor of Numerators i.e. GCF of 617,9319 is 1 .

LCM of Denominators means LCM of 42,580 as per the given fractions.

LCM of 42,580 is 12180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 617,9319

GCF of Fractions 617/42,9319/580 is 1/12180

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

Greatest Common Factor of 617,9319 By Matching Biggest Common Factor Method

Greatest Common Factor of 617,9319 By Matching Biggest Common Factor Method

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

Factors of 9319

List of positive integer factors of 9319 that divides 9319 without a remainder.

1,9319

Greatest Common Factor

We found the factors 617,9319 . The biggest common factor number is the GCF number.
So the greatest common factor 617,9319 is 1.

Lets's calculate LCM of 42,580

2 42, 580
21, 290

∴ So the LCM of the given numbers is 2 x 21 x 290 = 12180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12180

Therefore, the GCF of Fractions 617/42,9319/580 is 1/12180

Least Common Multiple of 42,580 with GCF Formula

Least Common Multiple of 42,580 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 42,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,580) = 2

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

GCF(42,580) x common factors =2 x 1 = 2

LCM(42,580) = ( 42 × 580 ) / 2

LCM(42,580) = 24360 / 2

LCM(42,580) = 12180


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 617/42, 9319/580

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 617/42, 9319/580?

Answer: GCF of Numerators as per given numbers 617/42, 9319/580 is

GCF of Numerators i.e. for 617,9319 is 1

LCM of denominators i.e. for 42,580 is 12180.

Thus, GCF of Fractions is 1/12180.Finally, GCF of Fractions for 617/42, 9319/580 is 1/12180.