GCD of 206, 720, 703, 456 Calculator

Given Input numbers are 206, 720, 703, 456

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

Divisors of 206 :

The positive integer divisors of 206 that completely divides 206 are.

1, 2, 103, 206

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 703 :

The positive integer divisors of 703 that completely divides 703 are.

1, 19, 37, 703

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

GCD of numbers is the greatest common divisor

So, the GCD (206, 720, 703, 456) = 1.

Given numbers are 206, 720, 703, 456

The list of prime factors of all numbers are

Prime factors of 206 are 2 x 103

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 703 are 19 x 37

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

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

Given numbers are 206, 720, 703, 456

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

Apply this formula for all numbers.

Step1:

LCM(206, 720) = 74160

GCD(206, 720) = ( 206 x 720 ) / 74160

= 206 / 720

= 206

Step2:

LCM(2, 703) = 1406

GCD(2, 703) = ( 2 x 703 ) / 1406

= 2 / 703

= 2

Step3:

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

= 1 / 456

= 1

So, Greatest Common Divisor of 206, 720, 703, 456 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 691, 726, 206, 245
• GCD of 601, 891, 526, 676
• GCD of 432, 366, 396, 778
• GCD of 843, 772, 371, 565
• GCD of 218, 252, 465, 120

Given numbers are 206, 720, 703, 456
The greatest common divisor of numbers 206, 720, 703, 456 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 206, 720, 703, 456 is 1.

1. What is the GCD of 206, 720, 703, 456?

GCD of given numbers 206, 720, 703, 456 is 1

2. How to calculate the greatest common divisor of 206, 720, 703, 456?

We can find the highest common divisor of 206, 720, 703, 456 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 206, 720, 703, 456 i.e 1.

3. How can I use the GCD of 206, 720, 703, 456Calculator?

Out the numbers 206, 720, 703, 456 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.