GCD of 608, 852, 644, 578 Calculator

Given Input numbers are 608, 852, 644, 578

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

Divisors of 608 :

The positive integer divisors of 608 that completely divides 608 are.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 578 :

The positive integer divisors of 578 that completely divides 578 are.

1, 2, 17, 34, 289, 578

GCD of numbers is the greatest common divisor

So, the GCD (608, 852, 644, 578) = 2.

Given numbers are 608, 852, 644, 578

The list of prime factors of all numbers are

Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 644 are 2 x 2 x 7 x 23

Prime factors of 578 are 2 x 17 x 17

The highest common occurrence is 2¹

Therefore, GCD of 608, 852, 644, 578 is 2.

Given numbers are 608, 852, 644, 578

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

Apply this formula for all numbers.

Step1:

LCM(608, 852) = 129504

GCD(608, 852) = ( 608 x 852 ) / 129504

= 608 / 852

= 608

Step2:

LCM(4, 644) = 644

GCD(4, 644) = ( 4 x 644 ) / 644

= 4 / 644

= 4

Step3:

LCM(4, 578) = 1156

GCD(4, 578) = ( 4 x 578 ) / 1156

= 4 / 578

= 4

So, Greatest Common Divisor of 608, 852, 644, 578 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 190, 600, 724, 611
• GCD of 101, 533, 354, 102
• GCD of 464, 797, 381, 221
• GCD of 875, 702, 159, 564
• GCD of 493, 695, 693, 697

Given numbers are 608, 852, 644, 578
The greatest common divisor of numbers 608, 852, 644, 578 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 608, 852, 644, 578 is 2.

1. What is the GCD of 608, 852, 644, 578?

GCD of given numbers 608, 852, 644, 578 is 2

2. How to calculate the greatest common divisor of 608, 852, 644, 578?

We can find the highest common divisor of 608, 852, 644, 578 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 608, 852, 644, 578 i.e 2.

3. How can I use the GCD of 608, 852, 644, 578Calculator?

Out the numbers 608, 852, 644, 578 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.