Greatest Common Factor of 481/32, 350/94, 467/280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 481/32, 350/94, 467/280

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 481/32,350/94,467/280

Given fractions are 481/32,350/94,467/280

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 481,350,467

Greatest Common Factor of Numerators i.e. GCF of 481,350,467 is 1 .

LCM of Denominators means LCM of 32,94,280 as per the given fractions.

LCM of 32,94,280 is 52640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 481,350,467

GCF of Fractions 481/32,350/94,467/280 is 1/52640

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

Greatest Common Factor of 481,350,467 By Matching Biggest Common Factor Method

Greatest Common Factor of 481,350,467 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 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Greatest Common Factor

We found the factors 481,350,467 . The biggest common factor number is the GCF number.
So the greatest common factor 481,350,467 is 1.

Lets's calculate LCM of 32,94,280

2 32, 94, 280
2 16, 47, 140
2 8, 47, 70
4, 47, 35

∴ So the LCM of the given numbers is 2 x 2 x 2 x 4 x 47 x 35 = 52640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52640

Therefore, the GCF of Fractions 481/32,350/94,467/280 is 1/52640

Least Common Multiple of 32,94,280 with GCF Formula

Least Common Multiple of 32,94,280 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 32,94,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,94,280) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(32,94,280) x common factors =2 x 8 = 16

LCM(32,94,280) = ( 32 × 94 × 280 ) / 16

LCM(32,94,280) = 842240 / 16

LCM(32,94,280) = 52640


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 481/32, 350/94, 467/280

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 481/32, 350/94, 467/280?

Answer: GCF of Numerators as per given numbers 481/32, 350/94, 467/280 is

GCF of Numerators i.e. for 481,350,467 is 1

LCM of denominators i.e. for 32,94,280 is 52640.

Thus, GCF of Fractions is 1/52640.Finally, GCF of Fractions for 481/32, 350/94, 467/280 is 1/52640.