GCD of 582, 632, 504, 874 Calculator

Given Input numbers are 582, 632, 504, 874

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

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 632 :

The positive integer divisors of 632 that completely divides 632 are.

1, 2, 4, 8, 79, 158, 316, 632

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 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

GCD of numbers is the greatest common divisor

So, the GCD (582, 632, 504, 874) = 2.

Given numbers are 582, 632, 504, 874

The list of prime factors of all numbers are

Prime factors of 582 are 2 x 3 x 97

Prime factors of 632 are 2 x 2 x 2 x 79

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

Prime factors of 874 are 2 x 19 x 23

The highest common occurrence is 2¹

Therefore, GCD of 582, 632, 504, 874 is 2.

Given numbers are 582, 632, 504, 874

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

Apply this formula for all numbers.

Step1:

LCM(582, 632) = 183912

GCD(582, 632) = ( 582 x 632 ) / 183912

= 582 / 632

= 582

Step2:

LCM(2, 504) = 504

GCD(2, 504) = ( 2 x 504 ) / 504

= 2 / 504

= 2

Step3:

LCM(2, 874) = 874

GCD(2, 874) = ( 2 x 874 ) / 874

= 2 / 874

= 2

So, Greatest Common Divisor of 582, 632, 504, 874 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 931, 325, 457, 389
• GCD of 408, 393, 840, 207
• GCD of 482, 613, 282, 500
• GCD of 861, 791, 262, 469
• GCD of 377, 887, 434, 954

Given numbers are 582, 632, 504, 874
The greatest common divisor of numbers 582, 632, 504, 874 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 582, 632, 504, 874 is 2.

1. What is the GCD of 582, 632, 504, 874?

GCD of given numbers 582, 632, 504, 874 is 2

2. How to calculate the greatest common divisor of 582, 632, 504, 874?

We can find the highest common divisor of 582, 632, 504, 874 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 582, 632, 504, 874 i.e 2.

3. How can I use the GCD of 582, 632, 504, 874Calculator?

Out the numbers 582, 632, 504, 874 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.