GCD of 537, 360, 642, 471 Calculator

Given Input numbers are 537, 360, 642, 471

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

Divisors of 537 :

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

1, 3, 179, 537

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

GCD of numbers is the greatest common divisor

So, the GCD (537, 360, 642, 471) = 3.

Given numbers are 537, 360, 642, 471

The list of prime factors of all numbers are

Prime factors of 537 are 3 x 179

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 642 are 2 x 3 x 107

Prime factors of 471 are 3 x 157

The highest common occurrence is 3¹

Therefore, GCD of 537, 360, 642, 471 is 3.

Given numbers are 537, 360, 642, 471

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

Apply this formula for all numbers.

Step1:

LCM(537, 360) = 64440

GCD(537, 360) = ( 537 x 360 ) / 64440

= 537 / 360

= 537

Step2:

LCM(3, 642) = 642

GCD(3, 642) = ( 3 x 642 ) / 642

= 3 / 642

= 3

Step3:

LCM(3, 471) = 471

GCD(3, 471) = ( 3 x 471 ) / 471

= 3 / 471

= 3

So, Greatest Common Divisor of 537, 360, 642, 471 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 614, 591, 298, 162
• GCD of 341, 478, 161, 695
• GCD of 681, 524, 590, 423
• GCD of 220, 519, 596, 526
• GCD of 907, 112, 123, 690

Given numbers are 537, 360, 642, 471
The greatest common divisor of numbers 537, 360, 642, 471 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 537, 360, 642, 471 is 3.

1. What is the GCD of 537, 360, 642, 471?

GCD of given numbers 537, 360, 642, 471 is 3

2. How to calculate the greatest common divisor of 537, 360, 642, 471?

We can find the highest common divisor of 537, 360, 642, 471 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 537, 360, 642, 471 i.e 3.

3. How can I use the GCD of 537, 360, 642, 471Calculator?

Out the numbers 537, 360, 642, 471 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.