Greatest Common Factor of 447/67, 420/44, 448/360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 447/67, 420/44, 448/360

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 447/67,420/44,448/360

Given fractions are 447/67,420/44,448/360

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 447,420,448

Greatest Common Factor of Numerators i.e. GCF of 447,420,448 is 1 .

LCM of Denominators means LCM of 67,44,360 as per the given fractions.

LCM of 67,44,360 is 265320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 447,420,448

GCF of Fractions 447/67,420/44,448/360 is 1/265320

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

Greatest Common Factor of 447,420,448 By Matching Biggest Common Factor Method

Greatest Common Factor of 447,420,448 By Matching Biggest Common Factor Method

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Greatest Common Factor

We found the factors 447,420,448 . The biggest common factor number is the GCF number.
So the greatest common factor 447,420,448 is 1.

Lets's calculate LCM of 67,44,360

2 67, 44, 360
2 67, 22, 180
67, 11, 90

∴ So the LCM of the given numbers is 2 x 2 x 67 x 11 x 90 = 265320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/265320

Therefore, the GCF of Fractions 447/67,420/44,448/360 is 1/265320

Least Common Multiple of 67,44,360 with GCF Formula

Least Common Multiple of 67,44,360 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 67,44,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,44,360) = 1

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

GCF(67,44,360) x common factors =1 x 4 = 4

LCM(67,44,360) = ( 67 × 44 × 360 ) / 4

LCM(67,44,360) = 1061280 / 4

LCM(67,44,360) = 265320


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 447/67, 420/44, 448/360

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 447/67, 420/44, 448/360?

Answer: GCF of Numerators as per given numbers 447/67, 420/44, 448/360 is

GCF of Numerators i.e. for 447,420,448 is 1

LCM of denominators i.e. for 67,44,360 is 265320.

Thus, GCF of Fractions is 1/265320.Finally, GCF of Fractions for 447/67, 420/44, 448/360 is 1/265320.