Greatest Common Factor of 696/36, 483/90, 318/58

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 696/36, 483/90, 318/58

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 696/36,483/90,318/58

Given fractions are 696/36,483/90,318/58

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 696,483,318

Greatest Common Factor of Numerators i.e. GCF of 696,483,318 is 3 .

LCM of Denominators means LCM of 36,90,58 as per the given fractions.

LCM of 36,90,58 is 5220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 696,483,318

GCF of Fractions 696/36,483/90,318/58 is 3/5220

3 696, 483, 318
232, 161, 106

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 696,483,318 By Matching Biggest Common Factor Method

Greatest Common Factor of 696,483,318 By Matching Biggest Common Factor Method

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Greatest Common Factor

We found the factors 696,483,318 . The biggest common factor number is the GCF number.
So the greatest common factor 696,483,318 is 3.

Lets's calculate LCM of 36,90,58

2 36, 90, 58
3 18, 45, 29
3 6, 15, 29
2, 5, 29

∴ So the LCM of the given numbers is 2 x 3 x 3 x 2 x 5 x 29 = 5220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5220

Therefore, the GCF of Fractions 696/36,483/90,318/58 is 3/5220

Least Common Multiple of 36,90,58 with GCF Formula

Least Common Multiple of 36,90,58 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 36,90,58 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,90,58) = 2

common factors(in case of two or more numbers have common factors) = 18

GCF(36,90,58) x common factors =2 x 18 = 36

LCM(36,90,58) = ( 36 × 90 × 58 ) / 36

LCM(36,90,58) = 187920 / 36

LCM(36,90,58) = 5220


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 696/36, 483/90, 318/58

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 696/36, 483/90, 318/58?

Answer: GCF of Numerators as per given numbers 696/36, 483/90, 318/58 is

GCF of Numerators i.e. for 696,483,318 is 3

LCM of denominators i.e. for 36,90,58 is 5220.

Thus, GCF of Fractions is 3/5220.Finally, GCF of Fractions for 696/36, 483/90, 318/58 is 3/5220.