Greatest Common Factor of 190/29, 158/30, 574/55

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 190/29, 158/30, 574/55

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 190/29,158/30,574/55

Given fractions are 190/29,158/30,574/55

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 190,158,574

Greatest Common Factor of Numerators i.e. GCF of 190,158,574 is 2 .

LCM of Denominators means LCM of 29,30,55 as per the given fractions.

LCM of 29,30,55 is 9570 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 190,158,574

GCF of Fractions 190/29,158/30,574/55 is 2/9570

2 190, 158, 574
95, 79, 287

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

Greatest Common Factor of 190,158,574 By Matching Biggest Common Factor Method

Greatest Common Factor of 190,158,574 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 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Greatest Common Factor

We found the factors 190,158,574 . The biggest common factor number is the GCF number.
So the greatest common factor 190,158,574 is 2.

Lets's calculate LCM of 29,30,55

5 29, 30, 55
29, 6, 11

∴ So the LCM of the given numbers is 5 x 29 x 6 x 11 = 9570

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9570

Therefore, the GCF of Fractions 190/29,158/30,574/55 is 2/9570

Least Common Multiple of 29,30,55 with GCF Formula

Least Common Multiple of 29,30,55 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 29,30,55 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,30,55) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(29,30,55) x common factors =1 x 5 = 5

LCM(29,30,55) = ( 29 × 30 × 55 ) / 5

LCM(29,30,55) = 47850 / 5

LCM(29,30,55) = 9570


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 190/29, 158/30, 574/55

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 190/29, 158/30, 574/55?

Answer: GCF of Numerators as per given numbers 190/29, 158/30, 574/55 is

GCF of Numerators i.e. for 190,158,574 is 2

LCM of denominators i.e. for 29,30,55 is 9570.

Thus, GCF of Fractions is 2/9570.Finally, GCF of Fractions for 190/29, 158/30, 574/55 is 2/9570.