GCD of 528, 228, 650, 364 Calculator

Given Input numbers are 528, 228, 650, 364

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

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

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 650 :

The positive integer divisors of 650 that completely divides 650 are.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

GCD of numbers is the greatest common divisor

So, the GCD (528, 228, 650, 364) = 2.

Given numbers are 528, 228, 650, 364

The list of prime factors of all numbers are

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

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 650 are 2 x 5 x 5 x 13

Prime factors of 364 are 2 x 2 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 528, 228, 650, 364 is 2.

Given numbers are 528, 228, 650, 364

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

Apply this formula for all numbers.

Step1:

LCM(528, 228) = 10032

GCD(528, 228) = ( 528 x 228 ) / 10032

= 528 / 228

= 528

Step2:

LCM(12, 650) = 3900

GCD(12, 650) = ( 12 x 650 ) / 3900

= 12 / 650

= 12

Step3:

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

= 2 / 364

= 2

So, Greatest Common Divisor of 528, 228, 650, 364 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 168, 144, 199, 759
• GCD of 336, 670, 800, 421
• GCD of 670, 781, 609, 669
• GCD of 198, 226, 566, 442
• GCD of 417, 305, 338, 733

Given numbers are 528, 228, 650, 364
The greatest common divisor of numbers 528, 228, 650, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 528, 228, 650, 364 is 2.

1. What is the GCD of 528, 228, 650, 364?

GCD of given numbers 528, 228, 650, 364 is 2

2. How to calculate the greatest common divisor of 528, 228, 650, 364?

We can find the highest common divisor of 528, 228, 650, 364 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 528, 228, 650, 364 i.e 2.

3. How can I use the GCD of 528, 228, 650, 364Calculator?

Out the numbers 528, 228, 650, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.