GCD of 122, 400, 731, 438 Calculator

Given Input numbers are 122, 400, 731, 438

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

Divisors of 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 438 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (122, 400, 731, 438) = 1.

Given numbers are 122, 400, 731, 438

The list of prime factors of all numbers are

Prime factors of 122 are 2 x 61

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 731 are 17 x 43

Prime factors of 438 are 2 x 3 x 73

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

Given numbers are 122, 400, 731, 438

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

Apply this formula for all numbers.

Step1:

LCM(122, 400) = 24400

GCD(122, 400) = ( 122 x 400 ) / 24400

= 122 / 400

= 122

Step2:

LCM(2, 731) = 1462

GCD(2, 731) = ( 2 x 731 ) / 1462

= 2 / 731

= 2

Step3:

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

= 1 / 438

= 1

So, Greatest Common Divisor of 122, 400, 731, 438 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 401, 457, 325, 220
• GCD of 404, 327, 782, 107
• GCD of 613, 738, 445, 839
• GCD of 814, 157, 331, 959
• GCD of 431, 877, 129, 686

Given numbers are 122, 400, 731, 438
The greatest common divisor of numbers 122, 400, 731, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 122, 400, 731, 438 is 1.

1. What is the GCD of 122, 400, 731, 438?

GCD of given numbers 122, 400, 731, 438 is 1

2. How to calculate the greatest common divisor of 122, 400, 731, 438?

We can find the highest common divisor of 122, 400, 731, 438 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 122, 400, 731, 438 i.e 1.

3. How can I use the GCD of 122, 400, 731, 438Calculator?

Out the numbers 122, 400, 731, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.