GCD of 536, 364, 538, 782 Calculator

Given Input numbers are 536, 364, 538, 782

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 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

GCD of numbers is the greatest common divisor

So, the GCD (536, 364, 538, 782) = 2.

Given numbers are 536, 364, 538, 782

The list of prime factors of all numbers are

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

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 538 are 2 x 269

Prime factors of 782 are 2 x 17 x 23

The highest common occurrence is 2¹

Therefore, GCD of 536, 364, 538, 782 is 2.

Given numbers are 536, 364, 538, 782

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

Apply this formula for all numbers.

Step1:

LCM(536, 364) = 48776

GCD(536, 364) = ( 536 x 364 ) / 48776

= 536 / 364

= 536

Step2:

LCM(4, 538) = 1076

GCD(4, 538) = ( 4 x 538 ) / 1076

= 4 / 538

= 4

Step3:

LCM(2, 782) = 782

GCD(2, 782) = ( 2 x 782 ) / 782

= 2 / 782

= 2

So, Greatest Common Divisor of 536, 364, 538, 782 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 912, 253, 316, 964
• GCD of 479, 873, 624, 471
• GCD of 674, 998, 160, 784
• GCD of 184, 271, 347, 168
• GCD of 760, 790, 573, 225

Given numbers are 536, 364, 538, 782
The greatest common divisor of numbers 536, 364, 538, 782 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 536, 364, 538, 782 is 2.

1. What is the GCD of 536, 364, 538, 782?

GCD of given numbers 536, 364, 538, 782 is 2

2. How to calculate the greatest common divisor of 536, 364, 538, 782?

We can find the highest common divisor of 536, 364, 538, 782 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, 364, 538, 782 i.e 2.

3. How can I use the GCD of 536, 364, 538, 782Calculator?

Out the numbers 536, 364, 538, 782 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.