GCD of 538, 156, 316, 802 Calculator

Given Input numbers are 538, 156, 316, 802

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

Divisors of 538 :

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

1, 2, 269, 538

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

GCD of numbers is the greatest common divisor

So, the GCD (538, 156, 316, 802) = 2.

Given numbers are 538, 156, 316, 802

The list of prime factors of all numbers are

Prime factors of 538 are 2 x 269

Prime factors of 156 are 2 x 2 x 3 x 13

Prime factors of 316 are 2 x 2 x 79

Prime factors of 802 are 2 x 401

The highest common occurrence is 2¹

Therefore, GCD of 538, 156, 316, 802 is 2.

Given numbers are 538, 156, 316, 802

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

Apply this formula for all numbers.

Step1:

LCM(538, 156) = 41964

GCD(538, 156) = ( 538 x 156 ) / 41964

= 538 / 156

= 538

Step2:

LCM(2, 316) = 316

GCD(2, 316) = ( 2 x 316 ) / 316

= 2 / 316

= 2

Step3:

LCM(2, 802) = 802

GCD(2, 802) = ( 2 x 802 ) / 802

= 2 / 802

= 2

So, Greatest Common Divisor of 538, 156, 316, 802 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 785, 995, 354, 156
• GCD of 756, 317, 441, 173
• GCD of 493, 549, 595, 802
• GCD of 501, 960, 365, 721
• GCD of 329, 212, 831, 628

Given numbers are 538, 156, 316, 802
The greatest common divisor of numbers 538, 156, 316, 802 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 156, 316, 802 is 2.

1. What is the GCD of 538, 156, 316, 802?

GCD of given numbers 538, 156, 316, 802 is 2

2. How to calculate the greatest common divisor of 538, 156, 316, 802?

We can find the highest common divisor of 538, 156, 316, 802 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 538, 156, 316, 802 i.e 2.

3. How can I use the GCD of 538, 156, 316, 802Calculator?

Out the numbers 538, 156, 316, 802 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.