GCD of 338, 972, 311, 892 Calculator

Given Input numbers are 338, 972, 311, 892

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

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

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 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

Divisors of 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

GCD of numbers is the greatest common divisor

So, the GCD (338, 972, 311, 892) = 1.

Given numbers are 338, 972, 311, 892

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

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

Prime factors of 311 are 311

Prime factors of 892 are 2 x 2 x 223

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

Given numbers are 338, 972, 311, 892

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

Apply this formula for all numbers.

Step1:

LCM(338, 972) = 164268

GCD(338, 972) = ( 338 x 972 ) / 164268

= 338 / 972

= 338

Step2:

LCM(2, 311) = 622

GCD(2, 311) = ( 2 x 311 ) / 622

= 2 / 311

= 2

Step3:

LCM(1, 892) = 892

GCD(1, 892) = ( 1 x 892 ) / 892

= 1 / 892

= 1

So, Greatest Common Divisor of 338, 972, 311, 892 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 384, 832, 503, 174
• GCD of 627, 389, 207, 583
• GCD of 746, 735, 789, 546
• GCD of 479, 579, 453, 710
• GCD of 311, 557, 198, 523

Given numbers are 338, 972, 311, 892
The greatest common divisor of numbers 338, 972, 311, 892 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 972, 311, 892 is 1.

1. What is the GCD of 338, 972, 311, 892?

GCD of given numbers 338, 972, 311, 892 is 1

2. How to calculate the greatest common divisor of 338, 972, 311, 892?

We can find the highest common divisor of 338, 972, 311, 892 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 338, 972, 311, 892 i.e 1.

3. How can I use the GCD of 338, 972, 311, 892Calculator?

Out the numbers 338, 972, 311, 892 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.