GCD of 338, 945, 564, 973 Calculator

Given Input numbers are 338, 945, 564, 973

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 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 973 :

The positive integer divisors of 973 that completely divides 973 are.

1, 7, 139, 973

GCD of numbers is the greatest common divisor

So, the GCD (338, 945, 564, 973) = 1.

Given numbers are 338, 945, 564, 973

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 973 are 7 x 139

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

Given numbers are 338, 945, 564, 973

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

Apply this formula for all numbers.

Step1:

LCM(338, 945) = 319410

GCD(338, 945) = ( 338 x 945 ) / 319410

= 338 / 945

= 338

Step2:

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

= 1 / 564

= 1

Step3:

LCM(1, 973) = 973

GCD(1, 973) = ( 1 x 973 ) / 973

= 1 / 973

= 1

So, Greatest Common Divisor of 338, 945, 564, 973 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 663, 535, 688, 482
• GCD of 787, 439, 966, 803
• GCD of 337, 323, 914, 461
• GCD of 526, 367, 985, 505
• GCD of 868, 838, 299, 779

Given numbers are 338, 945, 564, 973
The greatest common divisor of numbers 338, 945, 564, 973 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 945, 564, 973 is 1.

1. What is the GCD of 338, 945, 564, 973?

GCD of given numbers 338, 945, 564, 973 is 1

2. How to calculate the greatest common divisor of 338, 945, 564, 973?

We can find the highest common divisor of 338, 945, 564, 973 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, 945, 564, 973 i.e 1.

3. How can I use the GCD of 338, 945, 564, 973Calculator?

Out the numbers 338, 945, 564, 973 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.