GCD of 465, 670, 58, 800 Calculator

Given Input numbers are 465, 670, 58, 800

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Greatest Common Divisior

We found the divisors of 465, 670, 58, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 670, 58, 800 is 1.

Therefore, GCD of numbers 465, 670, 58, 800 is 1

Given Input Data is 465, 670, 58, 800

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 670 is 2 x 5 x 67

Prime Factorization of 58 is 2 x 29

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(465, 670) = 62310

GCD(465, 670) = ( 465 x 670 ) / 62310

GCD(465, 670) = 311550 / 62310

GCD(465, 670) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 58

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(5, 58) = 290

GCD(5, 58) = ( 5 x 58 ) / 290

GCD(5, 58) = 290 / 290

GCD(5, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 800

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

GCD(1, 800) = 800 / 800

GCD(1, 800) = 1

GCD of 465, 670, 58, 800 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 626, 513, 41, 554
• GCD of 239, 538, 69, 183
• GCD of 760, 302, 23, 967
• GCD of 480, 623, 99, 377
• GCD of 983, 850, 78, 150

1. What is the GCD of 465, 670, 58, 800?

GCD of 465, 670, 58, 800 is 1

2. Where do I get the detailed procedure to find GCD of 465, 670, 58, 800?

You can find a detailed procedure to find GCD of 465, 670, 58, 800 on our page.

3. How to find GCD of 465, 670, 58, 800 on a calculator?

You can find the GCD of 465, 670, 58, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.