Greatest Common Factor of 80/469, 456/605

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 80/469, 456/605

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 80/469,456/605

Given fractions are 80/469,456/605

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 80,456

Greatest Common Factor of Numerators i.e. GCF of 80,456 is 8 .

LCM of Denominators means LCM of 469,605 as per the given fractions.

LCM of 469,605 is 283745 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 80,456

GCF of Fractions 80/469,456/605 is 8/283745

2 80, 456
2 40, 228
2 20, 114
10, 57

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 80,456 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,456 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Greatest Common Factor

We found the factors 80,456 . The biggest common factor number is the GCF number.
So the greatest common factor 80,456 is 8.

Lets's calculate LCM of 469,605

Given numbers has no common factors except 1. So, there LCM is their product i.e 283745

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/283745

Therefore, the GCF of Fractions 80/469,456/605 is 8/283745

Least Common Multiple of 469,605 with GCF Formula

Least Common Multiple of 469,605 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 469,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,605) = 1

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

GCF(469,605) x common factors =1 x 1 = 1

LCM(469,605) = ( 469 × 605 ) / 1

LCM(469,605) = 283745 / 1

LCM(469,605) = 283745


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 80/469, 456/605

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 80/469, 456/605?

Answer: GCF of Numerators as per given numbers 80/469, 456/605 is

GCF of Numerators i.e. for 80,456 is 8

LCM of denominators i.e. for 469,605 is 283745.

Thus, GCF of Fractions is 8/283745.Finally, GCF of Fractions for 80/469, 456/605 is 8/283745.