GCD of 892, 223, 470, 720 Calculator

Given Input numbers are 892, 223, 470, 720

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

Divisors of 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

Divisors of 223 :

The positive integer divisors of 223 that completely divides 223 are.

1, 223

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

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

GCD of numbers is the greatest common divisor

So, the GCD (892, 223, 470, 720) = 1.

Given numbers are 892, 223, 470, 720

The list of prime factors of all numbers are

Prime factors of 892 are 2 x 2 x 223

Prime factors of 223 are 223

Prime factors of 470 are 2 x 5 x 47

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

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

Given numbers are 892, 223, 470, 720

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

Apply this formula for all numbers.

Step1:

LCM(892, 223) = 892

GCD(892, 223) = ( 892 x 223 ) / 892

= 892 / 223

= 892

Step2:

LCM(223, 470) = 104810

GCD(223, 470) = ( 223 x 470 ) / 104810

= 223 / 470

= 223

Step3:

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

= 1 / 720

= 1

So, Greatest Common Divisor of 892, 223, 470, 720 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 905, 235, 408, 779
• GCD of 181, 741, 736, 889
• GCD of 446, 225, 727, 694
• GCD of 463, 718, 550, 285
• GCD of 677, 356, 599, 604

Given numbers are 892, 223, 470, 720
The greatest common divisor of numbers 892, 223, 470, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 892, 223, 470, 720 is 1.

1. What is the GCD of 892, 223, 470, 720?

GCD of given numbers 892, 223, 470, 720 is 1

2. How to calculate the greatest common divisor of 892, 223, 470, 720?

We can find the highest common divisor of 892, 223, 470, 720 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 892, 223, 470, 720 i.e 1.

3. How can I use the GCD of 892, 223, 470, 720Calculator?

Out the numbers 892, 223, 470, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.