GCD of 536, 902, 972, 468 Calculator

Given Input numbers are 536, 902, 972, 468

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

Divisors of 536 :

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

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

Divisors of 902 :

The positive integer divisors of 902 that completely divides 902 are.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

GCD of numbers is the greatest common divisor

So, the GCD (536, 902, 972, 468) = 2.

Given numbers are 536, 902, 972, 468

The list of prime factors of all numbers are

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

Prime factors of 902 are 2 x 11 x 41

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 536, 902, 972, 468 is 2.

Given numbers are 536, 902, 972, 468

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

Apply this formula for all numbers.

Step1:

LCM(536, 902) = 241736

GCD(536, 902) = ( 536 x 902 ) / 241736

= 536 / 902

= 536

Step2:

LCM(2, 972) = 972

GCD(2, 972) = ( 2 x 972 ) / 972

= 2 / 972

= 2

Step3:

LCM(2, 468) = 468

GCD(2, 468) = ( 2 x 468 ) / 468

= 2 / 468

= 2

So, Greatest Common Divisor of 536, 902, 972, 468 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 899, 859, 349, 973
• GCD of 283, 397, 184, 965
• GCD of 964, 105, 931, 996
• GCD of 388, 171, 415, 687
• GCD of 291, 113, 669, 846

Given numbers are 536, 902, 972, 468
The greatest common divisor of numbers 536, 902, 972, 468 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 536, 902, 972, 468 is 2.

1. What is the GCD of 536, 902, 972, 468?

GCD of given numbers 536, 902, 972, 468 is 2

2. How to calculate the greatest common divisor of 536, 902, 972, 468?

We can find the highest common divisor of 536, 902, 972, 468 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 536, 902, 972, 468 i.e 2.

3. How can I use the GCD of 536, 902, 972, 468Calculator?

Out the numbers 536, 902, 972, 468 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.