GCD of 502, 536, 780, 138 Calculator

Given Input numbers are 502, 536, 780, 138

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

Divisors of 502 :

The positive integer divisors of 502 that completely divides 502 are.

1, 2, 251, 502

Divisors of 536 :

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

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

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

GCD of numbers is the greatest common divisor

So, the GCD (502, 536, 780, 138) = 2.

Given numbers are 502, 536, 780, 138

The list of prime factors of all numbers are

Prime factors of 502 are 2 x 251

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

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 138 are 2 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 502, 536, 780, 138 is 2.

Given numbers are 502, 536, 780, 138

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

Apply this formula for all numbers.

Step1:

LCM(502, 536) = 134536

GCD(502, 536) = ( 502 x 536 ) / 134536

= 502 / 536

= 502

Step2:

LCM(2, 780) = 780

GCD(2, 780) = ( 2 x 780 ) / 780

= 2 / 780

= 2

Step3:

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

= 2 / 138

= 2

So, Greatest Common Divisor of 502, 536, 780, 138 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 916, 384, 500, 355
• GCD of 613, 582, 675, 422
• GCD of 183, 781, 780, 198
• GCD of 945, 307, 784, 684
• GCD of 748, 728, 632, 474

Given numbers are 502, 536, 780, 138
The greatest common divisor of numbers 502, 536, 780, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 502, 536, 780, 138 is 2.

1. What is the GCD of 502, 536, 780, 138?

GCD of given numbers 502, 536, 780, 138 is 2

2. How to calculate the greatest common divisor of 502, 536, 780, 138?

We can find the highest common divisor of 502, 536, 780, 138 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 502, 536, 780, 138 i.e 2.

3. How can I use the GCD of 502, 536, 780, 138Calculator?

Out the numbers 502, 536, 780, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.