GCD of 690, 612, 492, 162 Calculator

Given Input numbers are 690, 612, 492, 162

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

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

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 (690, 612, 492, 162) = 6.

Given numbers are 690, 612, 492, 162

The list of prime factors of all numbers are

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 492 are 2 x 2 x 3 x 41

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

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 690, 612, 492, 162 is 6.

Given numbers are 690, 612, 492, 162

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

Apply this formula for all numbers.

Step1:

LCM(690, 612) = 70380

GCD(690, 612) = ( 690 x 612 ) / 70380

= 690 / 612

= 690

Step2:

LCM(6, 492) = 492

GCD(6, 492) = ( 6 x 492 ) / 492

= 6 / 492

= 6

Step3:

LCM(6, 162) = 162

GCD(6, 162) = ( 6 x 162 ) / 162

= 6 / 162

= 6

So, Greatest Common Divisor of 690, 612, 492, 162 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 639, 701, 128, 795
• GCD of 915, 791, 861, 756
• GCD of 364, 514, 419, 600
• GCD of 577, 591, 222, 491
• GCD of 438, 779, 195, 362

Given numbers are 690, 612, 492, 162
The greatest common divisor of numbers 690, 612, 492, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 612, 492, 162 is 6.

1. What is the GCD of 690, 612, 492, 162?

GCD of given numbers 690, 612, 492, 162 is 6

2. How to calculate the greatest common divisor of 690, 612, 492, 162?

We can find the highest common divisor of 690, 612, 492, 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 690, 612, 492, 162 i.e 6.

3. How can I use the GCD of 690, 612, 492, 162Calculator?

Out the numbers 690, 612, 492, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.