Greatest Common Factor of 355/165, 5316/9345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 355/165, 5316/9345

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 355/165,5316/9345

Given fractions are 355/165,5316/9345

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 355,5316

Greatest Common Factor of Numerators i.e. GCF of 355,5316 is 1 .

LCM of Denominators means LCM of 165,9345 as per the given fractions.

LCM of 165,9345 is 102795 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 355,5316

GCF of Fractions 355/165,5316/9345 is 1/102795

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

Greatest Common Factor of 355,5316 By Matching Biggest Common Factor Method

Greatest Common Factor of 355,5316 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 5316

List of positive integer factors of 5316 that divides 5316 without a remainder.

1,2,3,4,6,12,443,886,1329,1772,2658,5316

Greatest Common Factor

We found the factors 355,5316 . The biggest common factor number is the GCF number.
So the greatest common factor 355,5316 is 1.

Lets's calculate LCM of 165,9345

3 165, 9345
5 55, 3115
11, 623

∴ So the LCM of the given numbers is 3 x 5 x 11 x 623 = 102795

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102795

Therefore, the GCF of Fractions 355/165,5316/9345 is 1/102795

Least Common Multiple of 165,9345 with GCF Formula

Least Common Multiple of 165,9345 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 165,9345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(165,9345) = 15

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

GCF(165,9345) x common factors =15 x 1 = 15

LCM(165,9345) = ( 165 × 9345 ) / 15

LCM(165,9345) = 1541925 / 15

LCM(165,9345) = 102795


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 355/165, 5316/9345

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 355/165, 5316/9345?

Answer: GCF of Numerators as per given numbers 355/165, 5316/9345 is

GCF of Numerators i.e. for 355,5316 is 1

LCM of denominators i.e. for 165,9345 is 102795.

Thus, GCF of Fractions is 1/102795.Finally, GCF of Fractions for 355/165, 5316/9345 is 1/102795.