Greatest Common Factor of 87/38, 73/37, 222/838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 87/38, 73/37, 222/838

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 87/38,73/37,222/838

Given fractions are 87/38,73/37,222/838

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 87,73,222

Greatest Common Factor of Numerators i.e. GCF of 87,73,222 is 1 .

LCM of Denominators means LCM of 38,37,838 as per the given fractions.

LCM of 38,37,838 is 589114 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 87,73,222

GCF of Fractions 87/38,73/37,222/838 is 1/589114

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

Greatest Common Factor of 87,73,222 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,73,222 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Greatest Common Factor

We found the factors 87,73,222 . The biggest common factor number is the GCF number.
So the greatest common factor 87,73,222 is 1.

Lets's calculate LCM of 38,37,838

2 38, 37, 838
19, 37, 419

∴ So the LCM of the given numbers is 2 x 19 x 37 x 419 = 589114

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/589114

Therefore, the GCF of Fractions 87/38,73/37,222/838 is 1/589114

Least Common Multiple of 38,37,838 with GCF Formula

Least Common Multiple of 38,37,838 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 38,37,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,37,838) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(38,37,838) x common factors =1 x 2 = 2

LCM(38,37,838) = ( 38 × 37 × 838 ) / 2

LCM(38,37,838) = 1178228 / 2

LCM(38,37,838) = 589114


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 87/38, 73/37, 222/838

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 87/38, 73/37, 222/838?

Answer: GCF of Numerators as per given numbers 87/38, 73/37, 222/838 is

GCF of Numerators i.e. for 87,73,222 is 1

LCM of denominators i.e. for 38,37,838 is 589114.

Thus, GCF of Fractions is 1/589114.Finally, GCF of Fractions for 87/38, 73/37, 222/838 is 1/589114.