Greatest Common Factor of 659/155, 1117/423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 659/155, 1117/423

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 659/155,1117/423

Given fractions are 659/155,1117/423

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 659,1117

Greatest Common Factor of Numerators i.e. GCF of 659,1117 is 1 .

LCM of Denominators means LCM of 155,423 as per the given fractions.

LCM of 155,423 is 65565 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 659,1117

GCF of Fractions 659/155,1117/423 is 1/65565

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

Greatest Common Factor of 659,1117 By Matching Biggest Common Factor Method

Greatest Common Factor of 659,1117 By Matching Biggest Common Factor Method

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Factors of 1117

List of positive integer factors of 1117 that divides 1117 without a remainder.

1,1117

Greatest Common Factor

We found the factors 659,1117 . The biggest common factor number is the GCF number.
So the greatest common factor 659,1117 is 1.

Lets's calculate LCM of 155,423

Given numbers has no common factors except 1. So, there LCM is their product i.e 65565

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65565

Therefore, the GCF of Fractions 659/155,1117/423 is 1/65565

Least Common Multiple of 155,423 with GCF Formula

Least Common Multiple of 155,423 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 155,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(155,423) = 1

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

GCF(155,423) x common factors =1 x 1 = 1

LCM(155,423) = ( 155 × 423 ) / 1

LCM(155,423) = 65565 / 1

LCM(155,423) = 65565


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 659/155, 1117/423

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 659/155, 1117/423?

Answer: GCF of Numerators as per given numbers 659/155, 1117/423 is

GCF of Numerators i.e. for 659,1117 is 1

LCM of denominators i.e. for 155,423 is 65565.

Thus, GCF of Fractions is 1/65565.Finally, GCF of Fractions for 659/155, 1117/423 is 1/65565.