GCD of 338, 600, 332, 922 Calculator

Given Input numbers are 338, 600, 332, 922

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

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 332 :

The positive integer divisors of 332 that completely divides 332 are.

1, 2, 4, 83, 166, 332

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 (338, 600, 332, 922) = 2.

Given numbers are 338, 600, 332, 922

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 332 are 2 x 2 x 83

Prime factors of 922 are 2 x 461

The highest common occurrence is 2¹

Therefore, GCD of 338, 600, 332, 922 is 2.

Given numbers are 338, 600, 332, 922

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

Apply this formula for all numbers.

Step1:

LCM(338, 600) = 101400

GCD(338, 600) = ( 338 x 600 ) / 101400

= 338 / 600

= 338

Step2:

LCM(2, 332) = 332

GCD(2, 332) = ( 2 x 332 ) / 332

= 2 / 332

= 2

Step3:

LCM(2, 922) = 922

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

= 2 / 922

= 2

So, Greatest Common Divisor of 338, 600, 332, 922 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 765, 587, 688, 674
• GCD of 403, 955, 884, 178
• GCD of 772, 423, 806, 805
• GCD of 143, 618, 927, 641
• GCD of 156, 272, 846, 438

Given numbers are 338, 600, 332, 922
The greatest common divisor of numbers 338, 600, 332, 922 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 600, 332, 922 is 2.

1. What is the GCD of 338, 600, 332, 922?

GCD of given numbers 338, 600, 332, 922 is 2

2. How to calculate the greatest common divisor of 338, 600, 332, 922?

We can find the highest common divisor of 338, 600, 332, 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 338, 600, 332, 922 i.e 2.

3. How can I use the GCD of 338, 600, 332, 922Calculator?

Out the numbers 338, 600, 332, 922 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.