GCD of 420, 165, 562, 309 Calculator

Given Input numbers are 420, 165, 562, 309

In the factoring method, we have to find the divisors of all numbers

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

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 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 562 :

The positive integer divisors of 562 that completely divides 562 are.

1, 2, 281, 562

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

GCD of numbers is the greatest common divisor

So, the GCD (420, 165, 562, 309) = 1.

Given numbers are 420, 165, 562, 309

The list of prime factors of all numbers are

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 165 are 3 x 5 x 11

Prime factors of 562 are 2 x 281

Prime factors of 309 are 3 x 103

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

Given numbers are 420, 165, 562, 309

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(420, 165) = 4620

GCD(420, 165) = ( 420 x 165 ) / 4620

= 420 / 165

= 420

Step2:

LCM(15, 562) = 8430

GCD(15, 562) = ( 15 x 562 ) / 8430

= 15 / 562

= 15

Step3:

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

= 1 / 309

= 1

So, Greatest Common Divisor of 420, 165, 562, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 598, 668, 317, 472
• GCD of 760, 997, 710, 594
• GCD of 596, 423, 629, 664
• GCD of 545, 187, 723, 992
• GCD of 597, 645, 596, 104

Given numbers are 420, 165, 562, 309
The greatest common divisor of numbers 420, 165, 562, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 165, 562, 309 is 1.

1. What is the GCD of 420, 165, 562, 309?

GCD of given numbers 420, 165, 562, 309 is 1

2. How to calculate the greatest common divisor of 420, 165, 562, 309?

We can find the highest common divisor of 420, 165, 562, 309 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 420, 165, 562, 309 i.e 1.

3. How can I use the GCD of 420, 165, 562, 309Calculator?

Out the numbers 420, 165, 562, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.