Greatest Common Factor of 90/12, 63/95, 185/19

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 90/12, 63/95, 185/19

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 90/12,63/95,185/19

Given fractions are 90/12,63/95,185/19

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 90,63,185

Greatest Common Factor of Numerators i.e. GCF of 90,63,185 is 1 .

LCM of Denominators means LCM of 12,95,19 as per the given fractions.

LCM of 12,95,19 is 1140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 90,63,185

GCF of Fractions 90/12,63/95,185/19 is 1/1140

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

Greatest Common Factor of 90,63,185 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,63,185 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 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Greatest Common Factor

We found the factors 90,63,185 . The biggest common factor number is the GCF number.
So the greatest common factor 90,63,185 is 1.

Lets's calculate LCM of 12,95,19

19 12, 95, 19
12, 5, 1

∴ So the LCM of the given numbers is 19 x 12 x 5 x 1 = 1140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1140

Therefore, the GCF of Fractions 90/12,63/95,185/19 is 1/1140

Least Common Multiple of 12,95,19 with GCF Formula

Least Common Multiple of 12,95,19 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 12,95,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,95,19) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(12,95,19) x common factors =1 x 19 = 19

LCM(12,95,19) = ( 12 × 95 × 19 ) / 19

LCM(12,95,19) = 21660 / 19

LCM(12,95,19) = 1140


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 90/12, 63/95, 185/19

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 90/12, 63/95, 185/19?

Answer: GCF of Numerators as per given numbers 90/12, 63/95, 185/19 is

GCF of Numerators i.e. for 90,63,185 is 1

LCM of denominators i.e. for 12,95,19 is 1140.

Thus, GCF of Fractions is 1/1140.Finally, GCF of Fractions for 90/12, 63/95, 185/19 is 1/1140.