GCD of 420, 556, 774, 536 Calculator

Given Input numbers are 420, 556, 774, 536

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 556 :

The positive integer divisors of 556 that completely divides 556 are.

1, 2, 4, 139, 278, 556

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 536 :

The positive integer divisors of 536 that completely divides 536 are.

1, 2, 4, 8, 67, 134, 268, 536

GCD of numbers is the greatest common divisor

So, the GCD (420, 556, 774, 536) = 2.

Given numbers are 420, 556, 774, 536

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 556 are 2 x 2 x 139

Prime factors of 774 are 2 x 3 x 3 x 43

Prime factors of 536 are 2 x 2 x 2 x 67

The highest common occurrence is 2¹

Therefore, GCD of 420, 556, 774, 536 is 2.

Given numbers are 420, 556, 774, 536

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

Apply this formula for all numbers.

Step1:

LCM(420, 556) = 58380

GCD(420, 556) = ( 420 x 556 ) / 58380

= 420 / 556

= 420

Step2:

LCM(4, 774) = 1548

GCD(4, 774) = ( 4 x 774 ) / 1548

= 4 / 774

= 4

Step3:

LCM(2, 536) = 536

GCD(2, 536) = ( 2 x 536 ) / 536

= 2 / 536

= 2

So, Greatest Common Divisor of 420, 556, 774, 536 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 156, 393, 528, 188
• GCD of 963, 197, 438, 537
• GCD of 917, 457, 202, 929
• GCD of 948, 375, 253, 880
• GCD of 208, 486, 719, 145

Given numbers are 420, 556, 774, 536
The greatest common divisor of numbers 420, 556, 774, 536 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 556, 774, 536 is 2.

1. What is the GCD of 420, 556, 774, 536?

GCD of given numbers 420, 556, 774, 536 is 2

2. How to calculate the greatest common divisor of 420, 556, 774, 536?

We can find the highest common divisor of 420, 556, 774, 536 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, 556, 774, 536 i.e 2.

3. How can I use the GCD of 420, 556, 774, 536Calculator?

Out the numbers 420, 556, 774, 536 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.