GCD of 214, 309, 964, 156 Calculator

Given Input numbers are 214, 309, 964, 156

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

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

GCD of numbers is the greatest common divisor

So, the GCD (214, 309, 964, 156) = 1.

Given numbers are 214, 309, 964, 156

The list of prime factors of all numbers are

Prime factors of 214 are 2 x 107

Prime factors of 309 are 3 x 103

Prime factors of 964 are 2 x 2 x 241

Prime factors of 156 are 2 x 2 x 3 x 13

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 214, 309, 964, 156

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

Apply this formula for all numbers.

Step1:

LCM(214, 309) = 66126

GCD(214, 309) = ( 214 x 309 ) / 66126

= 214 / 309

= 214

Step2:

LCM(1, 964) = 964

GCD(1, 964) = ( 1 x 964 ) / 964

= 1 / 964

= 1

Step3:

LCM(1, 156) = 156

GCD(1, 156) = ( 1 x 156 ) / 156

= 1 / 156

= 1

So, Greatest Common Divisor of 214, 309, 964, 156 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 808, 461, 718, 145
• GCD of 372, 744, 327, 524
• GCD of 793, 331, 748, 769
• GCD of 340, 120, 343, 704
• GCD of 665, 339, 475, 817

Given numbers are 214, 309, 964, 156
The greatest common divisor of numbers 214, 309, 964, 156 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 214, 309, 964, 156 is 1.

1. What is the GCD of 214, 309, 964, 156?

GCD of given numbers 214, 309, 964, 156 is 1

2. How to calculate the greatest common divisor of 214, 309, 964, 156?

We can find the highest common divisor of 214, 309, 964, 156 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 214, 309, 964, 156 i.e 1.

3. How can I use the GCD of 214, 309, 964, 156Calculator?

Out the numbers 214, 309, 964, 156 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.