Greatest Common Factor of 480/29, 653/89, 474/77

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 480/29, 653/89, 474/77

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 480/29,653/89,474/77

Given fractions are 480/29,653/89,474/77

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 480,653,474

Greatest Common Factor of Numerators i.e. GCF of 480,653,474 is 1 .

LCM of Denominators means LCM of 29,89,77 as per the given fractions.

LCM of 29,89,77 is 198737 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 480,653,474

GCF of Fractions 480/29,653/89,474/77 is 1/198737

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

Greatest Common Factor of 480,653,474 By Matching Biggest Common Factor Method

Greatest Common Factor of 480,653,474 By Matching Biggest Common Factor Method

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Greatest Common Factor

We found the factors 480,653,474 . The biggest common factor number is the GCF number.
So the greatest common factor 480,653,474 is 1.

Lets's calculate LCM of 29,89,77

Given numbers has no common factors except 1. So, there LCM is their product i.e 198737

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/198737

Therefore, the GCF of Fractions 480/29,653/89,474/77 is 1/198737

Least Common Multiple of 29,89,77 with GCF Formula

Least Common Multiple of 29,89,77 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 29,89,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,89,77) = 1

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

GCF(29,89,77) x common factors =1 x 1 = 1

LCM(29,89,77) = ( 29 × 89 × 77 ) / 1

LCM(29,89,77) = 198737 / 1

LCM(29,89,77) = 198737


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 480/29, 653/89, 474/77

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 480/29, 653/89, 474/77?

Answer: GCF of Numerators as per given numbers 480/29, 653/89, 474/77 is

GCF of Numerators i.e. for 480,653,474 is 1

LCM of denominators i.e. for 29,89,77 is 198737.

Thus, GCF of Fractions is 1/198737.Finally, GCF of Fractions for 480/29, 653/89, 474/77 is 1/198737.