Greatest Common Factor of 236/24, 183/21, 148/946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 236/24, 183/21, 148/946

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 236/24,183/21,148/946

Given fractions are 236/24,183/21,148/946

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 236,183,148

Greatest Common Factor of Numerators i.e. GCF of 236,183,148 is 1 .

LCM of Denominators means LCM of 24,21,946 as per the given fractions.

LCM of 24,21,946 is 79464 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 236,183,148

GCF of Fractions 236/24,183/21,148/946 is 1/79464

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

Greatest Common Factor of 236,183,148 By Matching Biggest Common Factor Method

Greatest Common Factor of 236,183,148 By Matching Biggest Common Factor Method

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Greatest Common Factor

We found the factors 236,183,148 . The biggest common factor number is the GCF number.
So the greatest common factor 236,183,148 is 1.

Lets's calculate LCM of 24,21,946

2 24, 21, 946
3 12, 21, 473
4, 7, 473

∴ So the LCM of the given numbers is 2 x 3 x 4 x 7 x 473 = 79464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79464

Therefore, the GCF of Fractions 236/24,183/21,148/946 is 1/79464

Least Common Multiple of 24,21,946 with GCF Formula

Least Common Multiple of 24,21,946 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 24,21,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,21,946) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(24,21,946) x common factors =1 x 6 = 6

LCM(24,21,946) = ( 24 × 21 × 946 ) / 6

LCM(24,21,946) = 476784 / 6

LCM(24,21,946) = 79464


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 236/24, 183/21, 148/946

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 236/24, 183/21, 148/946?

Answer: GCF of Numerators as per given numbers 236/24, 183/21, 148/946 is

GCF of Numerators i.e. for 236,183,148 is 1

LCM of denominators i.e. for 24,21,946 is 79464.

Thus, GCF of Fractions is 1/79464.Finally, GCF of Fractions for 236/24, 183/21, 148/946 is 1/79464.