GCD of 822, 582, 735 Calculator

Given Input numbers are 822, 582, 735

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

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

GCD of numbers is the greatest common divisor

So, the GCD (822, 582, 735) = 3.

Given numbers are 822, 582, 735

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

Prime factors of 582 are 2 x 3 x 97

Prime factors of 735 are 3 x 5 x 7 x 7

The highest common occurrence is 3¹

Therefore, GCD of 822, 582, 735 is 3.

Given numbers are 822, 582, 735

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

Apply this formula for all numbers.

Step1:

LCM(822, 582) = 79734

GCD(822, 582) = ( 822 x 582 ) / 79734

= 822 / 582

= 822

Step2:

LCM(6, 735) = 1470

GCD(6, 735) = ( 6 x 735 ) / 1470

= 6 / 735

= 6

So, Greatest Common Divisor of 822, 582, 735 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 739, 295, 285
• GCD of 318, 307, 381
• GCD of 195, 163, 231
• GCD of 136, 442, 297
• GCD of 426, 760, 117

Given numbers are 822, 582, 735
The greatest common divisor of numbers 822, 582, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 582, 735 is 3.

1. What is the GCD of 822, 582, 735?

GCD of given numbers 822, 582, 735 is 3

2. How to calculate the greatest common divisor of 822, 582, 735?

We can find the highest common divisor of 822, 582, 735 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 822, 582, 735 i.e 3.

3. How can I use the GCD of 822, 582, 735Calculator?

Out the numbers 822, 582, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.