Greatest Common Factor of 190/21, 468/87, 632/975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 190/21, 468/87, 632/975

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 190/21,468/87,632/975

Given fractions are 190/21,468/87,632/975

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 190,468,632

Greatest Common Factor of Numerators i.e. GCF of 190,468,632 is 2 .

LCM of Denominators means LCM of 21,87,975 as per the given fractions.

LCM of 21,87,975 is 197925 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 190,468,632

GCF of Fractions 190/21,468/87,632/975 is 2/197925

2 190, 468, 632
95, 234, 316

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

Greatest Common Factor of 190,468,632 By Matching Biggest Common Factor Method

Greatest Common Factor of 190,468,632 By Matching Biggest Common Factor Method

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Greatest Common Factor

We found the factors 190,468,632 . The biggest common factor number is the GCF number.
So the greatest common factor 190,468,632 is 2.

Lets's calculate LCM of 21,87,975

3 21, 87, 975
7, 29, 325

∴ So the LCM of the given numbers is 3 x 7 x 29 x 325 = 197925

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/197925

Therefore, the GCF of Fractions 190/21,468/87,632/975 is 2/197925

Least Common Multiple of 21,87,975 with GCF Formula

Least Common Multiple of 21,87,975 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 21,87,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,87,975) = 3

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

GCF(21,87,975) x common factors =3 x 3 = 9

LCM(21,87,975) = ( 21 × 87 × 975 ) / 9

LCM(21,87,975) = 1781325 / 9

LCM(21,87,975) = 197925


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 190/21, 468/87, 632/975

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 190/21, 468/87, 632/975?

Answer: GCF of Numerators as per given numbers 190/21, 468/87, 632/975 is

GCF of Numerators i.e. for 190,468,632 is 2

LCM of denominators i.e. for 21,87,975 is 197925.

Thus, GCF of Fractions is 2/197925.Finally, GCF of Fractions for 190/21, 468/87, 632/975 is 2/197925.