GCD of 660, 537, 588, 297 Calculator

Given Input numbers are 660, 537, 588, 297

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

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 537 :

The positive integer divisors of 537 that completely divides 537 are.

1, 3, 179, 537

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 297 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (660, 537, 588, 297) = 3.

Given numbers are 660, 537, 588, 297

The list of prime factors of all numbers are

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 537 are 3 x 179

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 297 are 3 x 3 x 3 x 11

The highest common occurrence is 3¹

Therefore, GCD of 660, 537, 588, 297 is 3.

Given numbers are 660, 537, 588, 297

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

Apply this formula for all numbers.

Step1:

LCM(660, 537) = 118140

GCD(660, 537) = ( 660 x 537 ) / 118140

= 660 / 537

= 660

Step2:

LCM(3, 588) = 588

GCD(3, 588) = ( 3 x 588 ) / 588

= 3 / 588

= 3

Step3:

LCM(3, 297) = 297

GCD(3, 297) = ( 3 x 297 ) / 297

= 3 / 297

= 3

So, Greatest Common Divisor of 660, 537, 588, 297 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 287, 331, 506, 288
• GCD of 958, 694, 725, 836
• GCD of 997, 302, 975, 535
• GCD of 843, 332, 857, 520
• GCD of 424, 354, 839, 473

Given numbers are 660, 537, 588, 297
The greatest common divisor of numbers 660, 537, 588, 297 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 537, 588, 297 is 3.

1. What is the GCD of 660, 537, 588, 297?

GCD of given numbers 660, 537, 588, 297 is 3

2. How to calculate the greatest common divisor of 660, 537, 588, 297?

We can find the highest common divisor of 660, 537, 588, 297 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 660, 537, 588, 297 i.e 3.

3. How can I use the GCD of 660, 537, 588, 297Calculator?

Out the numbers 660, 537, 588, 297 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.