Greatest Common Factor of 617/35, 386/39, 661/903

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 617/35, 386/39, 661/903

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 617/35,386/39,661/903

Given fractions are 617/35,386/39,661/903

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 617,386,661

Greatest Common Factor of Numerators i.e. GCF of 617,386,661 is 1 .

LCM of Denominators means LCM of 35,39,903 as per the given fractions.

LCM of 35,39,903 is 58695 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 617,386,661

GCF of Fractions 617/35,386/39,661/903 is 1/58695

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

Greatest Common Factor of 617,386,661 By Matching Biggest Common Factor Method

Greatest Common Factor of 617,386,661 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 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Factors of 661

List of positive integer factors of 661 that divides 661 without a remainder.

1,661

Greatest Common Factor

We found the factors 617,386,661 . The biggest common factor number is the GCF number.
So the greatest common factor 617,386,661 is 1.

Lets's calculate LCM of 35,39,903

3 35, 39, 903
7 35, 13, 301
5, 13, 43

∴ So the LCM of the given numbers is 3 x 7 x 5 x 13 x 43 = 58695

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58695

Therefore, the GCF of Fractions 617/35,386/39,661/903 is 1/58695

Least Common Multiple of 35,39,903 with GCF Formula

Least Common Multiple of 35,39,903 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 35,39,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,39,903) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(35,39,903) x common factors =1 x 21 = 21

LCM(35,39,903) = ( 35 × 39 × 903 ) / 21

LCM(35,39,903) = 1232595 / 21

LCM(35,39,903) = 58695


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 617/35, 386/39, 661/903

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 617/35, 386/39, 661/903?

Answer: GCF of Numerators as per given numbers 617/35, 386/39, 661/903 is

GCF of Numerators i.e. for 617,386,661 is 1

LCM of denominators i.e. for 35,39,903 is 58695.

Thus, GCF of Fractions is 1/58695.Finally, GCF of Fractions for 617/35, 386/39, 661/903 is 1/58695.