Greatest Common Factor of 481/74, 770/96, 234/452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 481/74, 770/96, 234/452

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 481/74,770/96,234/452

Given fractions are 481/74,770/96,234/452

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 481,770,234

Greatest Common Factor of Numerators i.e. GCF of 481,770,234 is 1 .

LCM of Denominators means LCM of 74,96,452 as per the given fractions.

LCM of 74,96,452 is 401376 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 481,770,234

GCF of Fractions 481/74,770/96,234/452 is 1/401376

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

Greatest Common Factor of 481,770,234 By Matching Biggest Common Factor Method

Greatest Common Factor of 481,770,234 By Matching Biggest Common Factor Method

Factors of 481

List of positive integer factors of 481 that divides 481 without a remainder.

1,13,37,481

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Greatest Common Factor

We found the factors 481,770,234 . The biggest common factor number is the GCF number.
So the greatest common factor 481,770,234 is 1.

Lets's calculate LCM of 74,96,452

2 74, 96, 452
2 37, 48, 226
37, 24, 113

∴ So the LCM of the given numbers is 2 x 2 x 37 x 24 x 113 = 401376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/401376

Therefore, the GCF of Fractions 481/74,770/96,234/452 is 1/401376

Least Common Multiple of 74,96,452 with GCF Formula

Least Common Multiple of 74,96,452 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 74,96,452 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,96,452) = 2

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

GCF(74,96,452) x common factors =2 x 4 = 8

LCM(74,96,452) = ( 74 × 96 × 452 ) / 8

LCM(74,96,452) = 3211008 / 8

LCM(74,96,452) = 401376


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 481/74, 770/96, 234/452

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 481/74, 770/96, 234/452?

Answer: GCF of Numerators as per given numbers 481/74, 770/96, 234/452 is

GCF of Numerators i.e. for 481,770,234 is 1

LCM of denominators i.e. for 74,96,452 is 401376.

Thus, GCF of Fractions is 1/401376.Finally, GCF of Fractions for 481/74, 770/96, 234/452 is 1/401376.