GCD of 189, 162, 714, 291 Calculator

Given Input numbers are 189, 162, 714, 291

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

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 162 :

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

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

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 291 :

The positive integer divisors of 291 that completely divides 291 are.

1, 3, 97, 291

GCD of numbers is the greatest common divisor

So, the GCD (189, 162, 714, 291) = 3.

Given numbers are 189, 162, 714, 291

The list of prime factors of all numbers are

Prime factors of 189 are 3 x 3 x 3 x 7

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

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 291 are 3 x 97

The highest common occurrence is 3¹

Therefore, GCD of 189, 162, 714, 291 is 3.

Given numbers are 189, 162, 714, 291

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

Apply this formula for all numbers.

Step1:

LCM(189, 162) = 1134

GCD(189, 162) = ( 189 x 162 ) / 1134

= 189 / 162

= 189

Step2:

LCM(27, 714) = 6426

GCD(27, 714) = ( 27 x 714 ) / 6426

= 27 / 714

= 27

Step3:

LCM(3, 291) = 291

GCD(3, 291) = ( 3 x 291 ) / 291

= 3 / 291

= 3

So, Greatest Common Divisor of 189, 162, 714, 291 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 211, 578, 689, 101
• GCD of 914, 767, 719, 684
• GCD of 637, 564, 523, 777
• GCD of 793, 705, 697, 678
• GCD of 718, 502, 266, 768

Given numbers are 189, 162, 714, 291
The greatest common divisor of numbers 189, 162, 714, 291 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 162, 714, 291 is 3.

1. What is the GCD of 189, 162, 714, 291?

GCD of given numbers 189, 162, 714, 291 is 3

2. How to calculate the greatest common divisor of 189, 162, 714, 291?

We can find the highest common divisor of 189, 162, 714, 291 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 189, 162, 714, 291 i.e 3.

3. How can I use the GCD of 189, 162, 714, 291Calculator?

Out the numbers 189, 162, 714, 291 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.