GCD of 720, 556, 584, 461 Calculator

Given Input numbers are 720, 556, 584, 461

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

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 556 :

The positive integer divisors of 556 that completely divides 556 are.

1, 2, 4, 139, 278, 556

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 461 :

The positive integer divisors of 461 that completely divides 461 are.

1, 461

GCD of numbers is the greatest common divisor

So, the GCD (720, 556, 584, 461) = 1.

Given numbers are 720, 556, 584, 461

The list of prime factors of all numbers are

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

Prime factors of 556 are 2 x 2 x 139

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 461 are 461

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

Given numbers are 720, 556, 584, 461

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

Apply this formula for all numbers.

Step1:

LCM(720, 556) = 100080

GCD(720, 556) = ( 720 x 556 ) / 100080

= 720 / 556

= 720

Step2:

LCM(4, 584) = 584

GCD(4, 584) = ( 4 x 584 ) / 584

= 4 / 584

= 4

Step3:

LCM(4, 461) = 1844

GCD(4, 461) = ( 4 x 461 ) / 1844

= 4 / 461

= 4

So, Greatest Common Divisor of 720, 556, 584, 461 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 864, 752, 682, 663
• GCD of 147, 839, 349, 991
• GCD of 795, 229, 828, 453
• GCD of 582, 317, 800, 751
• GCD of 827, 226, 174, 363

Given numbers are 720, 556, 584, 461
The greatest common divisor of numbers 720, 556, 584, 461 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 556, 584, 461 is 1.

1. What is the GCD of 720, 556, 584, 461?

GCD of given numbers 720, 556, 584, 461 is 1

2. How to calculate the greatest common divisor of 720, 556, 584, 461?

We can find the highest common divisor of 720, 556, 584, 461 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 720, 556, 584, 461 i.e 1.

3. How can I use the GCD of 720, 556, 584, 461Calculator?

Out the numbers 720, 556, 584, 461 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.