Greatest Common Factor of 30/23, 30/792, 155/151

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 30/23, 30/792, 155/151

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 30/23,30/792,155/151

Given fractions are 30/23,30/792,155/151

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 30,30,155

Greatest Common Factor of Numerators i.e. GCF of 30,30,155 is 5 .

LCM of Denominators means LCM of 23,792,151 as per the given fractions.

LCM of 23,792,151 is 2750616 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 30,30,155

GCF of Fractions 30/23,30/792,155/151 is 5/2750616

5 30, 30, 155
6, 6, 31

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 30,30,155 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,30,155 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 155

List of positive integer factors of 155 that divides 155 without a remainder.

1,5,31,155

Greatest Common Factor

We found the factors 30,30,155 . The biggest common factor number is the GCF number.
So the greatest common factor 30,30,155 is 5.

Lets's calculate LCM of 23,792,151

Given numbers has no common factors except 1. So, there LCM is their product i.e 2750616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2750616

Therefore, the GCF of Fractions 30/23,30/792,155/151 is 5/2750616

Least Common Multiple of 23,792,151 with GCF Formula

Least Common Multiple of 23,792,151 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 23,792,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,792,151) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(23,792,151) x common factors =1 x 1 = 1

LCM(23,792,151) = ( 23 × 792 × 151 ) / 1

LCM(23,792,151) = 2750616 / 1

LCM(23,792,151) = 2750616


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 30/23, 30/792, 155/151

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 30/23, 30/792, 155/151?

Answer: GCF of Numerators as per given numbers 30/23, 30/792, 155/151 is

GCF of Numerators i.e. for 30,30,155 is 5

LCM of denominators i.e. for 23,792,151 is 2750616.

Thus, GCF of Fractions is 5/2750616.Finally, GCF of Fractions for 30/23, 30/792, 155/151 is 5/2750616.