GCD of 972, 314, 309, 229 Calculator

Given Input numbers are 972, 314, 309, 229

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

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 309 :

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

1, 3, 103, 309

Divisors of 229 :

The positive integer divisors of 229 that completely divides 229 are.

1, 229

GCD of numbers is the greatest common divisor

So, the GCD (972, 314, 309, 229) = 1.

Given numbers are 972, 314, 309, 229

The list of prime factors of all numbers are

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 314 are 2 x 157

Prime factors of 309 are 3 x 103

Prime factors of 229 are 229

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

Given numbers are 972, 314, 309, 229

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

Apply this formula for all numbers.

Step1:

LCM(972, 314) = 152604

GCD(972, 314) = ( 972 x 314 ) / 152604

= 972 / 314

= 972

Step2:

LCM(2, 309) = 618

GCD(2, 309) = ( 2 x 309 ) / 618

= 2 / 309

= 2

Step3:

LCM(1, 229) = 229

GCD(1, 229) = ( 1 x 229 ) / 229

= 1 / 229

= 1

So, Greatest Common Divisor of 972, 314, 309, 229 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 159, 126, 927, 157
• GCD of 769, 931, 978, 177
• GCD of 946, 639, 178, 591
• GCD of 982, 113, 980, 879
• GCD of 223, 226, 275, 142

Given numbers are 972, 314, 309, 229
The greatest common divisor of numbers 972, 314, 309, 229 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 314, 309, 229 is 1.

1. What is the GCD of 972, 314, 309, 229?

GCD of given numbers 972, 314, 309, 229 is 1

2. How to calculate the greatest common divisor of 972, 314, 309, 229?

We can find the highest common divisor of 972, 314, 309, 229 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 972, 314, 309, 229 i.e 1.

3. How can I use the GCD of 972, 314, 309, 229Calculator?

Out the numbers 972, 314, 309, 229 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.