Greatest Common Factor of 888/219, 9694/104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 888/219, 9694/104

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 888/219,9694/104

Given fractions are 888/219,9694/104

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 888,9694

Greatest Common Factor of Numerators i.e. GCF of 888,9694 is 74 .

LCM of Denominators means LCM of 219,104 as per the given fractions.

LCM of 219,104 is 22776 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 888,9694

GCF of Fractions 888/219,9694/104 is 74/22776

2 888, 9694
37 444, 4847
12, 131

∴ So the GCF of the given numbers is 2 x 37 = 74

Greatest Common Factor of 888,9694 By Matching Biggest Common Factor Method

Greatest Common Factor of 888,9694 By Matching Biggest Common Factor Method

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Factors of 9694

List of positive integer factors of 9694 that divides 9694 without a remainder.

1,2,37,74,131,262,4847,9694

Greatest Common Factor

We found the factors 888,9694 . The biggest common factor number is the GCF number.
So the greatest common factor 888,9694 is 74.

Lets's calculate LCM of 219,104

Given numbers has no common factors except 1. So, there LCM is their product i.e 22776

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 74/22776

Therefore, the GCF of Fractions 888/219,9694/104 is 74/22776

Least Common Multiple of 219,104 with GCF Formula

Least Common Multiple of 219,104 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 219,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(219,104) = 1

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

GCF(219,104) x common factors =1 x 1 = 1

LCM(219,104) = ( 219 × 104 ) / 1

LCM(219,104) = 22776 / 1

LCM(219,104) = 22776


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 888/219, 9694/104

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 888/219, 9694/104?

Answer: GCF of Numerators as per given numbers 888/219, 9694/104 is

GCF of Numerators i.e. for 888,9694 is 74

LCM of denominators i.e. for 219,104 is 22776.

Thus, GCF of Fractions is 74/22776.Finally, GCF of Fractions for 888/219, 9694/104 is 74/22776.