GCD of 764, 506, 578, 528 Calculator

Given Input numbers are 764, 506, 578, 528

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

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 578 :

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

1, 2, 17, 34, 289, 578

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

GCD of numbers is the greatest common divisor

So, the GCD (764, 506, 578, 528) = 2.

Given numbers are 764, 506, 578, 528

The list of prime factors of all numbers are

Prime factors of 764 are 2 x 2 x 191

Prime factors of 506 are 2 x 11 x 23

Prime factors of 578 are 2 x 17 x 17

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

The highest common occurrence is 2¹

Therefore, GCD of 764, 506, 578, 528 is 2.

Given numbers are 764, 506, 578, 528

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

Apply this formula for all numbers.

Step1:

LCM(764, 506) = 193292

GCD(764, 506) = ( 764 x 506 ) / 193292

= 764 / 506

= 764

Step2:

LCM(2, 578) = 578

GCD(2, 578) = ( 2 x 578 ) / 578

= 2 / 578

= 2

Step3:

LCM(2, 528) = 528

GCD(2, 528) = ( 2 x 528 ) / 528

= 2 / 528

= 2

So, Greatest Common Divisor of 764, 506, 578, 528 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 687, 472, 728, 906
• GCD of 199, 892, 196, 385
• GCD of 367, 369, 365, 169
• GCD of 109, 654, 238, 689
• GCD of 948, 194, 110, 172

Given numbers are 764, 506, 578, 528
The greatest common divisor of numbers 764, 506, 578, 528 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 764, 506, 578, 528 is 2.

1. What is the GCD of 764, 506, 578, 528?

GCD of given numbers 764, 506, 578, 528 is 2

2. How to calculate the greatest common divisor of 764, 506, 578, 528?

We can find the highest common divisor of 764, 506, 578, 528 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 764, 506, 578, 528 i.e 2.

3. How can I use the GCD of 764, 506, 578, 528Calculator?

Out the numbers 764, 506, 578, 528 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.