GCD of 420, 320, 44, 705 Calculator

Given Input numbers are 420, 320, 44, 705

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

Divisors of 420

List of positive integer divisors 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

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Greatest Common Divisior

We found the divisors of 420, 320, 44, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 320, 44, 705 is 1.

Therefore, GCD of numbers 420, 320, 44, 705 is 1

Given Input Data is 420, 320, 44, 705

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

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 705 is 3 x 5 x 47

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(420, 320) = 6720

GCD(420, 320) = ( 420 x 320 ) / 6720

GCD(420, 320) = 134400 / 6720

GCD(420, 320) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 44

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

LCM(20, 44) = 220

GCD(20, 44) = ( 20 x 44 ) / 220

GCD(20, 44) = 880 / 220

GCD(20, 44) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 705

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

LCM(4, 705) = 2820

GCD(4, 705) = ( 4 x 705 ) / 2820

GCD(4, 705) = 2820 / 2820

GCD(4, 705) = 1

GCD of 420, 320, 44, 705 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 785, 765, 16, 305
• GCD of 443, 139, 87, 891
• GCD of 181, 428, 10, 483
• GCD of 157, 505, 96, 875
• GCD of 343, 943, 47, 282

1. What is the GCD of 420, 320, 44, 705?

GCD of 420, 320, 44, 705 is 1

2. Where do I get the detailed procedure to find GCD of 420, 320, 44, 705?

You can find a detailed procedure to find GCD of 420, 320, 44, 705 on our page.

3. How to find GCD of 420, 320, 44, 705 on a calculator?

You can find the GCD of 420, 320, 44, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.