Greatest Common Factor of 9/86, 61/33, 55/111, 320/888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9/86, 61/33, 55/111, 320/888

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 9/86,61/33,55/111,320/888

Given fractions are 9/86,61/33,55/111,320/888

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 9,61,55,320

Greatest Common Factor of Numerators i.e. GCF of 9,61,55,320 is 1 .

LCM of Denominators means LCM of 86,33,111,888 as per the given fractions.

LCM of 86,33,111,888 is 420024 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9,61,55,320

GCF of Fractions 9/86,61/33,55/111,320/888 is 1/420024

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

Greatest Common Factor of 9,61,55,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 9,61,55,320 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 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 9,61,55,320 . The biggest common factor number is the GCF number.
So the greatest common factor 9,61,55,320 is 1.

Lets's calculate LCM of 86,33,111,888

2 86, 33, 111, 888
3 43, 33, 111, 444
37 43, 11, 37, 148
43, 11, 1, 4

∴ So the LCM of the given numbers is 2 x 3 x 37 x 43 x 11 x 1 x 4 = 420024

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/420024

Therefore, the GCF of Fractions 9/86,61/33,55/111,320/888 is 1/420024

Least Common Multiple of 86,33,111,888 with GCF Formula

Least Common Multiple of 86,33,111,888 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 86,33,111,888 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,33,111,888) = 1

common factors(in case of two or more numbers have common factors) = 666

GCF(86,33,111,888) x common factors =1 x 666 = 666

LCM(86,33,111,888) = ( 86 × 33 × 111 × 888 ) / 666

LCM(86,33,111,888) = 279735984 / 666

LCM(86,33,111,888) = 420024


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 9/86, 61/33, 55/111, 320/888

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 9/86, 61/33, 55/111, 320/888?

Answer: GCF of Numerators as per given numbers 9/86, 61/33, 55/111, 320/888 is

GCF of Numerators i.e. for 9,61,55,320 is 1

LCM of denominators i.e. for 86,33,111,888 is 420024.

Thus, GCF of Fractions is 1/420024.Finally, GCF of Fractions for 9/86, 61/33, 55/111, 320/888 is 1/420024.