GCD of 200, 922, 249, 738 Calculator

Given Input numbers are 200, 922, 249, 738

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

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 922 :

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

1, 2, 461, 922

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

GCD of numbers is the greatest common divisor

So, the GCD (200, 922, 249, 738) = 1.

Given numbers are 200, 922, 249, 738

The list of prime factors of all numbers are

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 922 are 2 x 461

Prime factors of 249 are 3 x 83

Prime factors of 738 are 2 x 3 x 3 x 41

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 200, 922, 249, 738

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

Apply this formula for all numbers.

Step1:

LCM(200, 922) = 92200

GCD(200, 922) = ( 200 x 922 ) / 92200

= 200 / 922

= 200

Step2:

LCM(2, 249) = 498

GCD(2, 249) = ( 2 x 249 ) / 498

= 2 / 249

= 2

Step3:

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

= 1 / 738

= 1

So, Greatest Common Divisor of 200, 922, 249, 738 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 553, 129, 335, 195
• GCD of 523, 808, 123, 955
• GCD of 658, 563, 274, 688
• GCD of 325, 148, 897, 830
• GCD of 847, 429, 488, 504

Given numbers are 200, 922, 249, 738
The greatest common divisor of numbers 200, 922, 249, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 922, 249, 738 is 1.

1. What is the GCD of 200, 922, 249, 738?

GCD of given numbers 200, 922, 249, 738 is 1

2. How to calculate the greatest common divisor of 200, 922, 249, 738?

We can find the highest common divisor of 200, 922, 249, 738 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 200, 922, 249, 738 i.e 1.

3. How can I use the GCD of 200, 922, 249, 738Calculator?

Out the numbers 200, 922, 249, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.