Greatest Common Factor of 90/88, 84/442, 106/580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 90/88, 84/442, 106/580

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 90/88,84/442,106/580

Given fractions are 90/88,84/442,106/580

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 90,84,106

Greatest Common Factor of Numerators i.e. GCF of 90,84,106 is 2 .

LCM of Denominators means LCM of 88,442,580 as per the given fractions.

LCM of 88,442,580 is 2819960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 90,84,106

GCF of Fractions 90/88,84/442,106/580 is 2/2819960

2 90, 84, 106
45, 42, 53

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

Greatest Common Factor of 90,84,106 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,84,106 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 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Greatest Common Factor

We found the factors 90,84,106 . The biggest common factor number is the GCF number.
So the greatest common factor 90,84,106 is 2.

Lets's calculate LCM of 88,442,580

2 88, 442, 580
2 44, 221, 290
22, 221, 145

∴ So the LCM of the given numbers is 2 x 2 x 22 x 221 x 145 = 2819960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2819960

Therefore, the GCF of Fractions 90/88,84/442,106/580 is 2/2819960

Least Common Multiple of 88,442,580 with GCF Formula

Least Common Multiple of 88,442,580 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 88,442,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,442,580) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(88,442,580) x common factors =2 x 4 = 8

LCM(88,442,580) = ( 88 × 442 × 580 ) / 8

LCM(88,442,580) = 22559680 / 8

LCM(88,442,580) = 2819960


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 90/88, 84/442, 106/580

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 90/88, 84/442, 106/580?

Answer: GCF of Numerators as per given numbers 90/88, 84/442, 106/580 is

GCF of Numerators i.e. for 90,84,106 is 2

LCM of denominators i.e. for 88,442,580 is 2819960.

Thus, GCF of Fractions is 2/2819960.Finally, GCF of Fractions for 90/88, 84/442, 106/580 is 2/2819960.