GCD of 108, 257, 699, 964 Calculator

Given Input numbers are 108, 257, 699, 964

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 257 :

The positive integer divisors of 257 that completely divides 257 are.

1, 257

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

Divisors of 964 :

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

1, 2, 4, 241, 482, 964

GCD of numbers is the greatest common divisor

So, the GCD (108, 257, 699, 964) = 1.

Given numbers are 108, 257, 699, 964

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 257 are 257

Prime factors of 699 are 3 x 233

Prime factors of 964 are 2 x 2 x 241

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

Given numbers are 108, 257, 699, 964

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

Apply this formula for all numbers.

Step1:

LCM(108, 257) = 27756

GCD(108, 257) = ( 108 x 257 ) / 27756

= 108 / 257

= 108

Step2:

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

= 1 / 699

= 1

Step3:

LCM(1, 964) = 964

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

= 1 / 964

= 1

So, Greatest Common Divisor of 108, 257, 699, 964 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 891, 846, 531, 586
• GCD of 980, 457, 760, 241
• GCD of 484, 133, 238, 569
• GCD of 983, 961, 742, 340
• GCD of 761, 767, 328, 155

Given numbers are 108, 257, 699, 964
The greatest common divisor of numbers 108, 257, 699, 964 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 257, 699, 964 is 1.

1. What is the GCD of 108, 257, 699, 964?

GCD of given numbers 108, 257, 699, 964 is 1

2. How to calculate the greatest common divisor of 108, 257, 699, 964?

We can find the highest common divisor of 108, 257, 699, 964 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 108, 257, 699, 964 i.e 1.

3. How can I use the GCD of 108, 257, 699, 964Calculator?

Out the numbers 108, 257, 699, 964 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.