Greatest Common Factor of 355/219, 617/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 355/219, 617/658

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 355/219,617/658

Given fractions are 355/219,617/658

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 355,617

Greatest Common Factor of Numerators i.e. GCF of 355,617 is 1 .

LCM of Denominators means LCM of 219,658 as per the given fractions.

LCM of 219,658 is 144102 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 355,617

GCF of Fractions 355/219,617/658 is 1/144102

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

Greatest Common Factor of 355,617 By Matching Biggest Common Factor Method

Greatest Common Factor of 355,617 By Matching Biggest Common Factor Method

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Factors of 617

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

1,617

Greatest Common Factor

We found the factors 355,617 . The biggest common factor number is the GCF number.
So the greatest common factor 355,617 is 1.

Lets's calculate LCM of 219,658

Given numbers has no common factors except 1. So, there LCM is their product i.e 144102

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144102

Therefore, the GCF of Fractions 355/219,617/658 is 1/144102

Least Common Multiple of 219,658 with GCF Formula

Least Common Multiple of 219,658 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 219,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(219,658) = 1

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

GCF(219,658) x common factors =1 x 1 = 1

LCM(219,658) = ( 219 × 658 ) / 1

LCM(219,658) = 144102 / 1

LCM(219,658) = 144102


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 355/219, 617/658

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 355/219, 617/658?

Answer: GCF of Numerators as per given numbers 355/219, 617/658 is

GCF of Numerators i.e. for 355,617 is 1

LCM of denominators i.e. for 219,658 is 144102.

Thus, GCF of Fractions is 1/144102.Finally, GCF of Fractions for 355/219, 617/658 is 1/144102.