GCD of 504, 652, 742, 836 Calculator

Given Input numbers are 504, 652, 742, 836

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

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 652 :

The positive integer divisors of 652 that completely divides 652 are.

1, 2, 4, 163, 326, 652

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 836 :

The positive integer divisors of 836 that completely divides 836 are.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

GCD of numbers is the greatest common divisor

So, the GCD (504, 652, 742, 836) = 2.

Given numbers are 504, 652, 742, 836

The list of prime factors of all numbers are

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 652 are 2 x 2 x 163

Prime factors of 742 are 2 x 7 x 53

Prime factors of 836 are 2 x 2 x 11 x 19

The highest common occurrence is 2¹

Therefore, GCD of 504, 652, 742, 836 is 2.

Given numbers are 504, 652, 742, 836

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

Apply this formula for all numbers.

Step1:

LCM(504, 652) = 82152

GCD(504, 652) = ( 504 x 652 ) / 82152

= 504 / 652

= 504

Step2:

LCM(4, 742) = 1484

GCD(4, 742) = ( 4 x 742 ) / 1484

= 4 / 742

= 4

Step3:

LCM(2, 836) = 836

GCD(2, 836) = ( 2 x 836 ) / 836

= 2 / 836

= 2

So, Greatest Common Divisor of 504, 652, 742, 836 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 728, 137, 201, 666
• GCD of 601, 370, 478, 284
• GCD of 877, 169, 984, 843
• GCD of 918, 566, 890, 922
• GCD of 895, 768, 280, 994

Given numbers are 504, 652, 742, 836
The greatest common divisor of numbers 504, 652, 742, 836 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 652, 742, 836 is 2.

1. What is the GCD of 504, 652, 742, 836?

GCD of given numbers 504, 652, 742, 836 is 2

2. How to calculate the greatest common divisor of 504, 652, 742, 836?

We can find the highest common divisor of 504, 652, 742, 836 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 504, 652, 742, 836 i.e 2.

3. How can I use the GCD of 504, 652, 742, 836Calculator?

Out the numbers 504, 652, 742, 836 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.