GCD of 438, 772, 968, 822 Calculator

Given Input numbers are 438, 772, 968, 822

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

Divisors of 438 :

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

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

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 822 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (438, 772, 968, 822) = 2.

Given numbers are 438, 772, 968, 822

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 772 are 2 x 2 x 193

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

Prime factors of 822 are 2 x 3 x 137

The highest common occurrence is 2¹

Therefore, GCD of 438, 772, 968, 822 is 2.

Given numbers are 438, 772, 968, 822

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

Apply this formula for all numbers.

Step1:

LCM(438, 772) = 169068

GCD(438, 772) = ( 438 x 772 ) / 169068

= 438 / 772

= 438

Step2:

LCM(2, 968) = 968

GCD(2, 968) = ( 2 x 968 ) / 968

= 2 / 968

= 2

Step3:

LCM(2, 822) = 822

GCD(2, 822) = ( 2 x 822 ) / 822

= 2 / 822

= 2

So, Greatest Common Divisor of 438, 772, 968, 822 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 634, 748, 259, 279
• GCD of 466, 140, 442, 577
• GCD of 282, 398, 980, 198
• GCD of 791, 890, 110, 321
• GCD of 791, 415, 645, 682

Given numbers are 438, 772, 968, 822
The greatest common divisor of numbers 438, 772, 968, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 772, 968, 822 is 2.

1. What is the GCD of 438, 772, 968, 822?

GCD of given numbers 438, 772, 968, 822 is 2

2. How to calculate the greatest common divisor of 438, 772, 968, 822?

We can find the highest common divisor of 438, 772, 968, 822 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 438, 772, 968, 822 i.e 2.

3. How can I use the GCD of 438, 772, 968, 822Calculator?

Out the numbers 438, 772, 968, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.