GCD of 438, 896, 422, 922 Calculator

Given Input numbers are 438, 896, 422, 922

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 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 922 :

The positive integer divisors of 922 that completely divides 922 are.

1, 2, 461, 922

GCD of numbers is the greatest common divisor

So, the GCD (438, 896, 422, 922) = 2.

Given numbers are 438, 896, 422, 922

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 422 are 2 x 211

Prime factors of 922 are 2 x 461

The highest common occurrence is 2¹

Therefore, GCD of 438, 896, 422, 922 is 2.

Given numbers are 438, 896, 422, 922

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

Apply this formula for all numbers.

Step1:

LCM(438, 896) = 196224

GCD(438, 896) = ( 438 x 896 ) / 196224

= 438 / 896

= 438

Step2:

LCM(2, 422) = 422

GCD(2, 422) = ( 2 x 422 ) / 422

= 2 / 422

= 2

Step3:

LCM(2, 922) = 922

GCD(2, 922) = ( 2 x 922 ) / 922

= 2 / 922

= 2

So, Greatest Common Divisor of 438, 896, 422, 922 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 739, 581, 432, 627
• GCD of 729, 969, 106, 252
• GCD of 224, 716, 198, 533
• GCD of 488, 924, 649, 664
• GCD of 413, 993, 983, 450

Given numbers are 438, 896, 422, 922
The greatest common divisor of numbers 438, 896, 422, 922 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 896, 422, 922 is 2.

1. What is the GCD of 438, 896, 422, 922?

GCD of given numbers 438, 896, 422, 922 is 2

2. How to calculate the greatest common divisor of 438, 896, 422, 922?

We can find the highest common divisor of 438, 896, 422, 922 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, 896, 422, 922 i.e 2.

3. How can I use the GCD of 438, 896, 422, 922Calculator?

Out the numbers 438, 896, 422, 922 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.