Greatest Common Factor of 768/22, 152/25, 281/287

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 768/22, 152/25, 281/287

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 768/22,152/25,281/287

Given fractions are 768/22,152/25,281/287

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 768,152,281

Greatest Common Factor of Numerators i.e. GCF of 768,152,281 is 1 .

LCM of Denominators means LCM of 22,25,287 as per the given fractions.

LCM of 22,25,287 is 157850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 768,152,281

GCF of Fractions 768/22,152/25,281/287 is 1/157850

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

Greatest Common Factor of 768,152,281 By Matching Biggest Common Factor Method

Greatest Common Factor of 768,152,281 By Matching Biggest Common Factor Method

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1,281

Greatest Common Factor

We found the factors 768,152,281 . The biggest common factor number is the GCF number.
So the greatest common factor 768,152,281 is 1.

Lets's calculate LCM of 22,25,287

Given numbers has no common factors except 1. So, there LCM is their product i.e 157850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/157850

Therefore, the GCF of Fractions 768/22,152/25,281/287 is 1/157850

Least Common Multiple of 22,25,287 with GCF Formula

Least Common Multiple of 22,25,287 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 22,25,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,25,287) = 1

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

GCF(22,25,287) x common factors =1 x 1 = 1

LCM(22,25,287) = ( 22 × 25 × 287 ) / 1

LCM(22,25,287) = 157850 / 1

LCM(22,25,287) = 157850


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 768/22, 152/25, 281/287

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 768/22, 152/25, 281/287?

Answer: GCF of Numerators as per given numbers 768/22, 152/25, 281/287 is

GCF of Numerators i.e. for 768,152,281 is 1

LCM of denominators i.e. for 22,25,287 is 157850.

Thus, GCF of Fractions is 1/157850.Finally, GCF of Fractions for 768/22, 152/25, 281/287 is 1/157850.