GCD of 400, 721, 308, 414 Calculator

Given Input numbers are 400, 721, 308, 414

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

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 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

GCD of numbers is the greatest common divisor

So, the GCD (400, 721, 308, 414) = 1.

Given numbers are 400, 721, 308, 414

The list of prime factors of all numbers are

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

Prime factors of 721 are 7 x 103

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 414 are 2 x 3 x 3 x 23

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

Given numbers are 400, 721, 308, 414

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

Apply this formula for all numbers.

Step1:

LCM(400, 721) = 288400

GCD(400, 721) = ( 400 x 721 ) / 288400

= 400 / 721

= 400

Step2:

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

= 1 / 308

= 1

Step3:

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

= 1 / 414

= 1

So, Greatest Common Divisor of 400, 721, 308, 414 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 902, 358, 791, 680
• GCD of 745, 218, 660, 287
• GCD of 573, 287, 170, 375
• GCD of 904, 869, 234, 102
• GCD of 275, 248, 789, 515

Given numbers are 400, 721, 308, 414
The greatest common divisor of numbers 400, 721, 308, 414 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 721, 308, 414 is 1.

1. What is the GCD of 400, 721, 308, 414?

GCD of given numbers 400, 721, 308, 414 is 1

2. How to calculate the greatest common divisor of 400, 721, 308, 414?

We can find the highest common divisor of 400, 721, 308, 414 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 400, 721, 308, 414 i.e 1.

3. How can I use the GCD of 400, 721, 308, 414Calculator?

Out the numbers 400, 721, 308, 414 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.