GCD of 435, 438, 822, 339 Calculator

Given Input numbers are 435, 438, 822, 339

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

Divisors of 435 :

The positive integer divisors of 435 that completely divides 435 are.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 438 :

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

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

Divisors of 822 :

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

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

Divisors of 339 :

The positive integer divisors of 339 that completely divides 339 are.

1, 3, 113, 339

GCD of numbers is the greatest common divisor

So, the GCD (435, 438, 822, 339) = 3.

Given numbers are 435, 438, 822, 339

The list of prime factors of all numbers are

Prime factors of 435 are 3 x 5 x 29

Prime factors of 438 are 2 x 3 x 73

Prime factors of 822 are 2 x 3 x 137

Prime factors of 339 are 3 x 113

The highest common occurrence is 3¹

Therefore, GCD of 435, 438, 822, 339 is 3.

Given numbers are 435, 438, 822, 339

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

Apply this formula for all numbers.

Step1:

LCM(435, 438) = 63510

GCD(435, 438) = ( 435 x 438 ) / 63510

= 435 / 438

= 435

Step2:

LCM(3, 822) = 822

GCD(3, 822) = ( 3 x 822 ) / 822

= 3 / 822

= 3

Step3:

LCM(3, 339) = 339

GCD(3, 339) = ( 3 x 339 ) / 339

= 3 / 339

= 3

So, Greatest Common Divisor of 435, 438, 822, 339 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 653, 557, 380, 454
• GCD of 774, 884, 371, 896
• GCD of 573, 105, 791, 922
• GCD of 168, 715, 362, 189
• GCD of 116, 115, 316, 982

Given numbers are 435, 438, 822, 339
The greatest common divisor of numbers 435, 438, 822, 339 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 435, 438, 822, 339 is 3.

1. What is the GCD of 435, 438, 822, 339?

GCD of given numbers 435, 438, 822, 339 is 3

2. How to calculate the greatest common divisor of 435, 438, 822, 339?

We can find the highest common divisor of 435, 438, 822, 339 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 435, 438, 822, 339 i.e 3.

3. How can I use the GCD of 435, 438, 822, 339Calculator?

Out the numbers 435, 438, 822, 339 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.