GCD of 447, 438, 702, 564 Calculator

Given Input numbers are 447, 438, 702, 564

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

Divisors of 447 :

The positive integer divisors of 447 that completely divides 447 are.

1, 3, 149, 447

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

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

GCD of numbers is the greatest common divisor

So, the GCD (447, 438, 702, 564) = 3.

Given numbers are 447, 438, 702, 564

The list of prime factors of all numbers are

Prime factors of 447 are 3 x 149

Prime factors of 438 are 2 x 3 x 73

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

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

The highest common occurrence is 3¹

Therefore, GCD of 447, 438, 702, 564 is 3.

Given numbers are 447, 438, 702, 564

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

Apply this formula for all numbers.

Step1:

LCM(447, 438) = 65262

GCD(447, 438) = ( 447 x 438 ) / 65262

= 447 / 438

= 447

Step2:

LCM(3, 702) = 702

GCD(3, 702) = ( 3 x 702 ) / 702

= 3 / 702

= 3

Step3:

LCM(3, 564) = 564

GCD(3, 564) = ( 3 x 564 ) / 564

= 3 / 564

= 3

So, Greatest Common Divisor of 447, 438, 702, 564 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 282, 143, 531, 721
• GCD of 841, 692, 565, 748
• GCD of 557, 759, 140, 867
• GCD of 731, 657, 790, 431
• GCD of 998, 441, 123, 288

Given numbers are 447, 438, 702, 564
The greatest common divisor of numbers 447, 438, 702, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 447, 438, 702, 564 is 3.

1. What is the GCD of 447, 438, 702, 564?

GCD of given numbers 447, 438, 702, 564 is 3

2. How to calculate the greatest common divisor of 447, 438, 702, 564?

We can find the highest common divisor of 447, 438, 702, 564 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 447, 438, 702, 564 i.e 3.

3. How can I use the GCD of 447, 438, 702, 564Calculator?

Out the numbers 447, 438, 702, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.