GCD of 834, 564, 456, 441 Calculator

Given Input numbers are 834, 564, 456, 441

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

Divisors of 834 :

The positive integer divisors of 834 that completely divides 834 are.

1, 2, 3, 6, 139, 278, 417, 834

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 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 441 :

The positive integer divisors of 441 that completely divides 441 are.

1, 3, 7, 9, 21, 49, 63, 147, 441

GCD of numbers is the greatest common divisor

So, the GCD (834, 564, 456, 441) = 3.

Given numbers are 834, 564, 456, 441

The list of prime factors of all numbers are

Prime factors of 834 are 2 x 3 x 139

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

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 441 are 3 x 3 x 7 x 7

The highest common occurrence is 3¹

Therefore, GCD of 834, 564, 456, 441 is 3.

Given numbers are 834, 564, 456, 441

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

Apply this formula for all numbers.

Step1:

LCM(834, 564) = 78396

GCD(834, 564) = ( 834 x 564 ) / 78396

= 834 / 564

= 834

Step2:

LCM(6, 456) = 456

GCD(6, 456) = ( 6 x 456 ) / 456

= 6 / 456

= 6

Step3:

LCM(6, 441) = 882

GCD(6, 441) = ( 6 x 441 ) / 882

= 6 / 441

= 6

So, Greatest Common Divisor of 834, 564, 456, 441 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 907, 961, 431, 228
• GCD of 477, 206, 861, 249
• GCD of 963, 871, 648, 951
• GCD of 470, 698, 778, 541
• GCD of 630, 942, 157, 511

Given numbers are 834, 564, 456, 441
The greatest common divisor of numbers 834, 564, 456, 441 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 834, 564, 456, 441 is 3.

1. What is the GCD of 834, 564, 456, 441?

GCD of given numbers 834, 564, 456, 441 is 3

2. How to calculate the greatest common divisor of 834, 564, 456, 441?

We can find the highest common divisor of 834, 564, 456, 441 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 834, 564, 456, 441 i.e 3.

3. How can I use the GCD of 834, 564, 456, 441Calculator?

Out the numbers 834, 564, 456, 441 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.