GCD of 564, 363, 738, 954 Calculator

Given Input numbers are 564, 363, 738, 954

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

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 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 954 :

The positive integer divisors of 954 that completely divides 954 are.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

GCD of numbers is the greatest common divisor

So, the GCD (564, 363, 738, 954) = 3.

Given numbers are 564, 363, 738, 954

The list of prime factors of all numbers are

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

Prime factors of 363 are 3 x 11 x 11

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 954 are 2 x 3 x 3 x 53

The highest common occurrence is 3¹

Therefore, GCD of 564, 363, 738, 954 is 3.

Given numbers are 564, 363, 738, 954

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

Apply this formula for all numbers.

Step1:

LCM(564, 363) = 68244

GCD(564, 363) = ( 564 x 363 ) / 68244

= 564 / 363

= 564

Step2:

LCM(3, 738) = 738

GCD(3, 738) = ( 3 x 738 ) / 738

= 3 / 738

= 3

Step3:

LCM(3, 954) = 954

GCD(3, 954) = ( 3 x 954 ) / 954

= 3 / 954

= 3

So, Greatest Common Divisor of 564, 363, 738, 954 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 267, 271, 540, 230
• GCD of 547, 617, 763, 739
• GCD of 606, 874, 796, 807
• GCD of 268, 852, 438, 859
• GCD of 527, 196, 626, 639

Given numbers are 564, 363, 738, 954
The greatest common divisor of numbers 564, 363, 738, 954 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 363, 738, 954 is 3.

1. What is the GCD of 564, 363, 738, 954?

GCD of given numbers 564, 363, 738, 954 is 3

2. How to calculate the greatest common divisor of 564, 363, 738, 954?

We can find the highest common divisor of 564, 363, 738, 954 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 564, 363, 738, 954 i.e 3.

3. How can I use the GCD of 564, 363, 738, 954Calculator?

Out the numbers 564, 363, 738, 954 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.