GCD of 528, 297, 420, 597 Calculator

Given Input numbers are 528, 297, 420, 597

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 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 597 :

The positive integer divisors of 597 that completely divides 597 are.

1, 3, 199, 597

GCD of numbers is the greatest common divisor

So, the GCD (528, 297, 420, 597) = 3.

Given numbers are 528, 297, 420, 597

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 297 are 3 x 3 x 3 x 11

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 597 are 3 x 199

The highest common occurrence is 3¹

Therefore, GCD of 528, 297, 420, 597 is 3.

Given numbers are 528, 297, 420, 597

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

Apply this formula for all numbers.

Step1:

LCM(528, 297) = 4752

GCD(528, 297) = ( 528 x 297 ) / 4752

= 528 / 297

= 528

Step2:

LCM(33, 420) = 4620

GCD(33, 420) = ( 33 x 420 ) / 4620

= 33 / 420

= 33

Step3:

LCM(3, 597) = 597

GCD(3, 597) = ( 3 x 597 ) / 597

= 3 / 597

= 3

So, Greatest Common Divisor of 528, 297, 420, 597 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 657, 984, 776, 781
• GCD of 133, 249, 455, 352
• GCD of 857, 243, 857, 501
• GCD of 216, 354, 453, 374
• GCD of 817, 361, 203, 859

Given numbers are 528, 297, 420, 597
The greatest common divisor of numbers 528, 297, 420, 597 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 528, 297, 420, 597 is 3.

1. What is the GCD of 528, 297, 420, 597?

GCD of given numbers 528, 297, 420, 597 is 3

2. How to calculate the greatest common divisor of 528, 297, 420, 597?

We can find the highest common divisor of 528, 297, 420, 597 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, 297, 420, 597 i.e 3.

3. How can I use the GCD of 528, 297, 420, 597Calculator?

Out the numbers 528, 297, 420, 597 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.