Greatest Common Factor of 1/38, 15/41, 50/644, 261/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/38, 15/41, 50/644, 261/460

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 1/38,15/41,50/644,261/460

Given fractions are 1/38,15/41,50/644,261/460

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 1,15,50,261

Greatest Common Factor of Numerators i.e. GCF of 1,15,50,261 is 1 .

LCM of Denominators means LCM of 38,41,644,460 as per the given fractions.

LCM of 38,41,644,460 is 2508380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,15,50,261

GCF of Fractions 1/38,15/41,50/644,261/460 is 1/2508380

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

Greatest Common Factor of 1,15,50,261 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,15,50,261 By Matching Biggest Common Factor Method

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Greatest Common Factor

We found the factors 1,15,50,261 . The biggest common factor number is the GCF number.
So the greatest common factor 1,15,50,261 is 1.

Lets's calculate LCM of 38,41,644,460

2 38, 41, 644, 460
2 19, 41, 322, 230
23 19, 41, 161, 115
19, 41, 7, 5

∴ So the LCM of the given numbers is 2 x 2 x 23 x 19 x 41 x 7 x 5 = 2508380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2508380

Therefore, the GCF of Fractions 1/38,15/41,50/644,261/460 is 1/2508380

Least Common Multiple of 38,41,644,460 with GCF Formula

Least Common Multiple of 38,41,644,460 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 38,41,644,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,41,644,460) = 1

common factors(in case of two or more numbers have common factors) = 184

GCF(38,41,644,460) x common factors =1 x 184 = 184

LCM(38,41,644,460) = ( 38 × 41 × 644 × 460 ) / 184

LCM(38,41,644,460) = 461541920 / 184

LCM(38,41,644,460) = 2508380


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 1/38, 15/41, 50/644, 261/460

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 1/38, 15/41, 50/644, 261/460?

Answer: GCF of Numerators as per given numbers 1/38, 15/41, 50/644, 261/460 is

GCF of Numerators i.e. for 1,15,50,261 is 1

LCM of denominators i.e. for 38,41,644,460 is 2508380.

Thus, GCF of Fractions is 1/2508380.Finally, GCF of Fractions for 1/38, 15/41, 50/644, 261/460 is 1/2508380.