Greatest Common Factor of 90/87, 22/237, 222/707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 90/87, 22/237, 222/707

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 90/87,22/237,222/707

Given fractions are 90/87,22/237,222/707

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 90,22,222

Greatest Common Factor of Numerators i.e. GCF of 90,22,222 is 2 .

LCM of Denominators means LCM of 87,237,707 as per the given fractions.

LCM of 87,237,707 is 4859211 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 90,22,222

GCF of Fractions 90/87,22/237,222/707 is 2/4859211

2 90, 22, 222
45, 11, 111

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 90,22,222 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,22,222 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

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 90,22,222 . The biggest common factor number is the GCF number.
So the greatest common factor 90,22,222 is 2.

Lets's calculate LCM of 87,237,707

3 87, 237, 707
29, 79, 707

∴ So the LCM of the given numbers is 3 x 29 x 79 x 707 = 4859211

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4859211

Therefore, the GCF of Fractions 90/87,22/237,222/707 is 2/4859211

Least Common Multiple of 87,237,707 with GCF Formula

Least Common Multiple of 87,237,707 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 87,237,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,237,707) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(87,237,707) x common factors =1 x 3 = 3

LCM(87,237,707) = ( 87 × 237 × 707 ) / 3

LCM(87,237,707) = 14577633 / 3

LCM(87,237,707) = 4859211


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 90/87, 22/237, 222/707

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 90/87, 22/237, 222/707?

Answer: GCF of Numerators as per given numbers 90/87, 22/237, 222/707 is

GCF of Numerators i.e. for 90,22,222 is 2

LCM of denominators i.e. for 87,237,707 is 4859211.

Thus, GCF of Fractions is 2/4859211.Finally, GCF of Fractions for 90/87, 22/237, 222/707 is 2/4859211.