Greatest Common Factor of 80/89, 69/84, 451/457

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 80/89, 69/84, 451/457

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 80/89,69/84,451/457

Given fractions are 80/89,69/84,451/457

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 80,69,451

Greatest Common Factor of Numerators i.e. GCF of 80,69,451 is 1 .

LCM of Denominators means LCM of 89,84,457 as per the given fractions.

LCM of 89,84,457 is 3416532 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 80,69,451

GCF of Fractions 80/89,69/84,451/457 is 1/3416532

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

Greatest Common Factor of 80,69,451 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,69,451 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 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 451

List of positive integer factors of 451 that divides 451 without a remainder.

1,11,41,451

Greatest Common Factor

We found the factors 80,69,451 . The biggest common factor number is the GCF number.
So the greatest common factor 80,69,451 is 1.

Lets's calculate LCM of 89,84,457

Given numbers has no common factors except 1. So, there LCM is their product i.e 3416532

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3416532

Therefore, the GCF of Fractions 80/89,69/84,451/457 is 1/3416532

Least Common Multiple of 89,84,457 with GCF Formula

Least Common Multiple of 89,84,457 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 89,84,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,84,457) = 1

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

GCF(89,84,457) x common factors =1 x 1 = 1

LCM(89,84,457) = ( 89 × 84 × 457 ) / 1

LCM(89,84,457) = 3416532 / 1

LCM(89,84,457) = 3416532


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 80/89, 69/84, 451/457

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 80/89, 69/84, 451/457?

Answer: GCF of Numerators as per given numbers 80/89, 69/84, 451/457 is

GCF of Numerators i.e. for 80,69,451 is 1

LCM of denominators i.e. for 89,84,457 is 3416532.

Thus, GCF of Fractions is 1/3416532.Finally, GCF of Fractions for 80/89, 69/84, 451/457 is 1/3416532.