How to Find GCF of 446/888, 1615/8184?

GCF of 446/888, 1615/8184

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 446/888, 1615/8184 i.e 1/302808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 446/888, 1615/8184.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 446/888,1615/8184?

Given fractions are 446/888,1615/8184

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 446/888,1615/8184, numerators are 446,1615

Denominators are 888,8184

The GCF of 446,1615 is 1 .

LCM of 888,8184 is 302808.

The greatest common factor of 446/888,1615/8184 = [GCF of 446,1615]/[LCM of 888,8184]= 1/302808

Therefore, the GCF of 446/888,1615/8184 is 1/302808.

Greatest Common Factor of 446,1615

To find the highest common factor of 446,1615, we have to find the factors of both numbers and list the highest common factor.

The factors of 446 are 1, 2, 223, 446

The factors of 1615 are 1, 5, 17, 19, 85, 95, 323, 1615

The HCF of 446,1615 is 1.

Lets's calculate GCF of 446,1615

Greatest Common Factor (GCF) of 446,1615 By Common Division

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

Greatest Common Factor of 446,1615 By Matching Biggest Common Factor Method

Now, list down the factors of 446

1,2,223,446

Now, list down the factors of 1615

1,5,17,19,85,95,323,1615

Greatest Common Factor

We found the factors 446,1615 . The biggest common factor number is the GCF number.
So the greatest common factor 446,1615 is 1.

Lets's calculate LCM of 888,8184

Lowest Common Multiple of 888,8184 using Common Division

2	888, 8184
2	444, 4092
2	222, 2046
3	111, 1023
	37, 341

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 37 x 341 = 302808

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/302808

Therefore, the GCF of Fractions 446/888,1615/8184 is 1/302808

Least Common Multiple of 888,8184 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 888,8184 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(888,8184) = 24

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

GCF(888,8184) x common factors =24 x 1 = 24

LCM(888,8184) = ( 888 × 8184 ) / 24

LCM(888,8184) = 7267392 / 24

LCM(888,8184) = 302808

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 446/888, 1615/8184

1. What is the HCF of 446,1615?

The HCF of 446,1615 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 446/888, 1615/8184?

Answer: GCF of Numerators as per given numbers 446/888, 1615/8184 is

GCF of Numerators i.e. for 446,1615 is 1

LCM of denominators i.e. for 888,8184 is 302808.

Thus, GCF of Fractions is 1/302808.Finally, GCF of Fractions for 446/888, 1615/8184 is 1/302808.