Greatest Common Factor of 9/44, 53/36, 85/230, 695/216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9/44, 53/36, 85/230, 695/216

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 9/44,53/36,85/230,695/216

Given fractions are 9/44,53/36,85/230,695/216

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 9,53,85,695

Greatest Common Factor of Numerators i.e. GCF of 9,53,85,695 is 1 .

LCM of Denominators means LCM of 44,36,230,216 as per the given fractions.

LCM of 44,36,230,216 is 273240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9,53,85,695

GCF of Fractions 9/44,53/36,85/230,695/216 is 1/273240

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

Greatest Common Factor of 9,53,85,695 By Matching Biggest Common Factor Method

Greatest Common Factor of 9,53,85,695 By Matching Biggest Common Factor Method

Factors of 9

List of positive integer factors of 9 that divides 9 without a remainder.

1,3,9

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 695

List of positive integer factors of 695 that divides 695 without a remainder.

1,5,139,695

Greatest Common Factor

We found the factors 9,53,85,695 . The biggest common factor number is the GCF number.
So the greatest common factor 9,53,85,695 is 1.

Lets's calculate LCM of 44,36,230,216

2 44, 36, 230, 216
2 22, 18, 115, 108
3 11, 9, 115, 54
3 11, 3, 115, 18
11, 1, 115, 6

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 11 x 1 x 115 x 6 = 273240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/273240

Therefore, the GCF of Fractions 9/44,53/36,85/230,695/216 is 1/273240

Least Common Multiple of 44,36,230,216 with GCF Formula

Least Common Multiple of 44,36,230,216 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 44,36,230,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,36,230,216) = 2

common factors(in case of two or more numbers have common factors) = 144

GCF(44,36,230,216) x common factors =2 x 144 = 288

LCM(44,36,230,216) = ( 44 × 36 × 230 × 216 ) / 288

LCM(44,36,230,216) = 78693120 / 288

LCM(44,36,230,216) = 273240


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 9/44, 53/36, 85/230, 695/216

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 9/44, 53/36, 85/230, 695/216?

Answer: GCF of Numerators as per given numbers 9/44, 53/36, 85/230, 695/216 is

GCF of Numerators i.e. for 9,53,85,695 is 1

LCM of denominators i.e. for 44,36,230,216 is 273240.

Thus, GCF of Fractions is 1/273240.Finally, GCF of Fractions for 9/44, 53/36, 85/230, 695/216 is 1/273240.