Greatest Common Factor of 148/81, 222/895

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 148/81, 222/895

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 148/81,222/895

Given fractions are 148/81,222/895

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 148,222

Greatest Common Factor of Numerators i.e. GCF of 148,222 is 74 .

LCM of Denominators means LCM of 81,895 as per the given fractions.

LCM of 81,895 is 72495 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 148,222

GCF of Fractions 148/81,222/895 is 74/72495

2 148, 222
37 74, 111
2, 3

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

Greatest Common Factor of 148,222 By Matching Biggest Common Factor Method

Greatest Common Factor of 148,222 By Matching Biggest Common Factor Method

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

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 148,222 . The biggest common factor number is the GCF number.
So the greatest common factor 148,222 is 74.

Lets's calculate LCM of 81,895

Given numbers has no common factors except 1. So, there LCM is their product i.e 72495

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 74/72495

Therefore, the GCF of Fractions 148/81,222/895 is 74/72495

Least Common Multiple of 81,895 with GCF Formula

Least Common Multiple of 81,895 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 81,895 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,895) = 1

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

GCF(81,895) x common factors =1 x 1 = 1

LCM(81,895) = ( 81 × 895 ) / 1

LCM(81,895) = 72495 / 1

LCM(81,895) = 72495


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 148/81, 222/895

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 148/81, 222/895?

Answer: GCF of Numerators as per given numbers 148/81, 222/895 is

GCF of Numerators i.e. for 148,222 is 74

LCM of denominators i.e. for 81,895 is 72495.

Thus, GCF of Fractions is 74/72495.Finally, GCF of Fractions for 148/81, 222/895 is 74/72495.