GCD of 882, 537, 564, 162 Calculator

Given Input numbers are 882, 537, 564, 162

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

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 537 :

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

1, 3, 179, 537

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

GCD of numbers is the greatest common divisor

So, the GCD (882, 537, 564, 162) = 3.

Given numbers are 882, 537, 564, 162

The list of prime factors of all numbers are

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

Prime factors of 537 are 3 x 179

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 882, 537, 564, 162 is 3.

Given numbers are 882, 537, 564, 162

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

Apply this formula for all numbers.

Step1:

LCM(882, 537) = 157878

GCD(882, 537) = ( 882 x 537 ) / 157878

= 882 / 537

= 882

Step2:

LCM(3, 564) = 564

GCD(3, 564) = ( 3 x 564 ) / 564

= 3 / 564

= 3

Step3:

LCM(3, 162) = 162

GCD(3, 162) = ( 3 x 162 ) / 162

= 3 / 162

= 3

So, Greatest Common Divisor of 882, 537, 564, 162 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 868, 518, 992, 653
• GCD of 111, 741, 602, 847
• GCD of 231, 352, 854, 534
• GCD of 200, 558, 396, 770
• GCD of 198, 661, 779, 775

Given numbers are 882, 537, 564, 162
The greatest common divisor of numbers 882, 537, 564, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 882, 537, 564, 162 is 3.

1. What is the GCD of 882, 537, 564, 162?

GCD of given numbers 882, 537, 564, 162 is 3

2. How to calculate the greatest common divisor of 882, 537, 564, 162?

We can find the highest common divisor of 882, 537, 564, 162 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 882, 537, 564, 162 i.e 3.

3. How can I use the GCD of 882, 537, 564, 162Calculator?

Out the numbers 882, 537, 564, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.