GCD of 638, 628, 420, 862 Calculator

Given Input numbers are 638, 628, 420, 862

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

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

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 862 :

The positive integer divisors of 862 that completely divides 862 are.

1, 2, 431, 862

GCD of numbers is the greatest common divisor

So, the GCD (638, 628, 420, 862) = 2.

Given numbers are 638, 628, 420, 862

The list of prime factors of all numbers are

Prime factors of 638 are 2 x 11 x 29

Prime factors of 628 are 2 x 2 x 157

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

Prime factors of 862 are 2 x 431

The highest common occurrence is 2¹

Therefore, GCD of 638, 628, 420, 862 is 2.

Given numbers are 638, 628, 420, 862

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

Apply this formula for all numbers.

Step1:

LCM(638, 628) = 200332

GCD(638, 628) = ( 638 x 628 ) / 200332

= 638 / 628

= 638

Step2:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2

Step3:

LCM(2, 862) = 862

GCD(2, 862) = ( 2 x 862 ) / 862

= 2 / 862

= 2

So, Greatest Common Divisor of 638, 628, 420, 862 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 102, 366, 495, 744
• GCD of 431, 909, 945, 957
• GCD of 156, 511, 445, 687
• GCD of 959, 352, 755, 312
• GCD of 894, 633, 302, 804

Given numbers are 638, 628, 420, 862
The greatest common divisor of numbers 638, 628, 420, 862 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 638, 628, 420, 862 is 2.

1. What is the GCD of 638, 628, 420, 862?

GCD of given numbers 638, 628, 420, 862 is 2

2. How to calculate the greatest common divisor of 638, 628, 420, 862?

We can find the highest common divisor of 638, 628, 420, 862 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 638, 628, 420, 862 i.e 2.

3. How can I use the GCD of 638, 628, 420, 862Calculator?

Out the numbers 638, 628, 420, 862 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.