Greatest Common Factor of 365/40, 264/39, 143/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 365/40, 264/39, 143/428

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 365/40,264/39,143/428

Given fractions are 365/40,264/39,143/428

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 365,264,143

Greatest Common Factor of Numerators i.e. GCF of 365,264,143 is 1 .

LCM of Denominators means LCM of 40,39,428 as per the given fractions.

LCM of 40,39,428 is 166920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 365,264,143

GCF of Fractions 365/40,264/39,143/428 is 1/166920

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

Greatest Common Factor of 365,264,143 By Matching Biggest Common Factor Method

Greatest Common Factor of 365,264,143 By Matching Biggest Common Factor Method

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Greatest Common Factor

We found the factors 365,264,143 . The biggest common factor number is the GCF number.
So the greatest common factor 365,264,143 is 1.

Lets's calculate LCM of 40,39,428

2 40, 39, 428
2 20, 39, 214
10, 39, 107

∴ So the LCM of the given numbers is 2 x 2 x 10 x 39 x 107 = 166920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/166920

Therefore, the GCF of Fractions 365/40,264/39,143/428 is 1/166920

Least Common Multiple of 40,39,428 with GCF Formula

Least Common Multiple of 40,39,428 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 40,39,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,39,428) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(40,39,428) x common factors =1 x 4 = 4

LCM(40,39,428) = ( 40 × 39 × 428 ) / 4

LCM(40,39,428) = 667680 / 4

LCM(40,39,428) = 166920


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 365/40, 264/39, 143/428

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 365/40, 264/39, 143/428?

Answer: GCF of Numerators as per given numbers 365/40, 264/39, 143/428 is

GCF of Numerators i.e. for 365,264,143 is 1

LCM of denominators i.e. for 40,39,428 is 166920.

Thus, GCF of Fractions is 1/166920.Finally, GCF of Fractions for 365/40, 264/39, 143/428 is 1/166920.