GCD of 642, 591, 150, 420 Calculator

Given Input numbers are 642, 591, 150, 420

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

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 591 :

The positive integer divisors of 591 that completely divides 591 are.

1, 3, 197, 591

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

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

GCD of numbers is the greatest common divisor

So, the GCD (642, 591, 150, 420) = 3.

Given numbers are 642, 591, 150, 420

The list of prime factors of all numbers are

Prime factors of 642 are 2 x 3 x 107

Prime factors of 591 are 3 x 197

Prime factors of 150 are 2 x 3 x 5 x 5

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

The highest common occurrence is 3¹

Therefore, GCD of 642, 591, 150, 420 is 3.

Given numbers are 642, 591, 150, 420

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

Apply this formula for all numbers.

Step1:

LCM(642, 591) = 126474

GCD(642, 591) = ( 642 x 591 ) / 126474

= 642 / 591

= 642

Step2:

LCM(3, 150) = 150

GCD(3, 150) = ( 3 x 150 ) / 150

= 3 / 150

= 3

Step3:

LCM(3, 420) = 420

GCD(3, 420) = ( 3 x 420 ) / 420

= 3 / 420

= 3

So, Greatest Common Divisor of 642, 591, 150, 420 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 331, 393, 876, 144
• GCD of 850, 759, 562, 184
• GCD of 307, 536, 886, 370
• GCD of 958, 540, 935, 850
• GCD of 163, 738, 919, 413

Given numbers are 642, 591, 150, 420
The greatest common divisor of numbers 642, 591, 150, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 591, 150, 420 is 3.

1. What is the GCD of 642, 591, 150, 420?

GCD of given numbers 642, 591, 150, 420 is 3

2. How to calculate the greatest common divisor of 642, 591, 150, 420?

We can find the highest common divisor of 642, 591, 150, 420 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 642, 591, 150, 420 i.e 3.

3. How can I use the GCD of 642, 591, 150, 420Calculator?

Out the numbers 642, 591, 150, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.