Greatest Common Factor of 36/281, 273/750, 142/348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 36/281, 273/750, 142/348

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 36/281,273/750,142/348

Given fractions are 36/281,273/750,142/348

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 36,273,142

Greatest Common Factor of Numerators i.e. GCF of 36,273,142 is 1 .

LCM of Denominators means LCM of 281,750,348 as per the given fractions.

LCM of 281,750,348 is 12223500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 36,273,142

GCF of Fractions 36/281,273/750,142/348 is 1/12223500

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

Greatest Common Factor of 36,273,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,273,142 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 36,273,142 . The biggest common factor number is the GCF number.
So the greatest common factor 36,273,142 is 1.

Lets's calculate LCM of 281,750,348

2 281, 750, 348
3 281, 375, 174
281, 125, 58

∴ So the LCM of the given numbers is 2 x 3 x 281 x 125 x 58 = 12223500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12223500

Therefore, the GCF of Fractions 36/281,273/750,142/348 is 1/12223500

Least Common Multiple of 281,750,348 with GCF Formula

Least Common Multiple of 281,750,348 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 281,750,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(281,750,348) = 1

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

GCF(281,750,348) x common factors =1 x 6 = 6

LCM(281,750,348) = ( 281 × 750 × 348 ) / 6

LCM(281,750,348) = 73341000 / 6

LCM(281,750,348) = 12223500


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 36/281, 273/750, 142/348

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 36/281, 273/750, 142/348?

Answer: GCF of Numerators as per given numbers 36/281, 273/750, 142/348 is

GCF of Numerators i.e. for 36,273,142 is 1

LCM of denominators i.e. for 281,750,348 is 12223500.

Thus, GCF of Fractions is 1/12223500.Finally, GCF of Fractions for 36/281, 273/750, 142/348 is 1/12223500.