GCD of 504, 160, 682, 652 Calculator

Given Input numbers are 504, 160, 682, 652

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 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 652 :

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

1, 2, 4, 163, 326, 652

GCD of numbers is the greatest common divisor

So, the GCD (504, 160, 682, 652) = 2.

Given numbers are 504, 160, 682, 652

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 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 682 are 2 x 11 x 31

Prime factors of 652 are 2 x 2 x 163

The highest common occurrence is 2¹

Therefore, GCD of 504, 160, 682, 652 is 2.

Given numbers are 504, 160, 682, 652

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

Apply this formula for all numbers.

Step1:

LCM(504, 160) = 10080

GCD(504, 160) = ( 504 x 160 ) / 10080

= 504 / 160

= 504

Step2:

LCM(8, 682) = 2728

GCD(8, 682) = ( 8 x 682 ) / 2728

= 8 / 682

= 8

Step3:

LCM(2, 652) = 652

GCD(2, 652) = ( 2 x 652 ) / 652

= 2 / 652

= 2

So, Greatest Common Divisor of 504, 160, 682, 652 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 654, 583, 448, 753
• GCD of 938, 813, 473, 596
• GCD of 421, 953, 754, 315
• GCD of 642, 738, 459, 474
• GCD of 957, 727, 699, 397

Given numbers are 504, 160, 682, 652
The greatest common divisor of numbers 504, 160, 682, 652 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 160, 682, 652 is 2.

1. What is the GCD of 504, 160, 682, 652?

GCD of given numbers 504, 160, 682, 652 is 2

2. How to calculate the greatest common divisor of 504, 160, 682, 652?

We can find the highest common divisor of 504, 160, 682, 652 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, 160, 682, 652 i.e 2.

3. How can I use the GCD of 504, 160, 682, 652Calculator?

Out the numbers 504, 160, 682, 652 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.