GCD of 821, 731, 584, 516 Calculator

Given Input numbers are 821, 731, 584, 516

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

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

Divisors of 731 :

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

1, 17, 43, 731

Divisors of 584 :

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

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

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

GCD of numbers is the greatest common divisor

So, the GCD (821, 731, 584, 516) = 1.

Given numbers are 821, 731, 584, 516

The list of prime factors of all numbers are

Prime factors of 821 are 821

Prime factors of 731 are 17 x 43

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

Prime factors of 516 are 2 x 2 x 3 x 43

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

Given numbers are 821, 731, 584, 516

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

Apply this formula for all numbers.

Step1:

LCM(821, 731) = 600151

GCD(821, 731) = ( 821 x 731 ) / 600151

= 821 / 731

= 821

Step2:

LCM(1, 584) = 584

GCD(1, 584) = ( 1 x 584 ) / 584

= 1 / 584

= 1

Step3:

LCM(1, 516) = 516

GCD(1, 516) = ( 1 x 516 ) / 516

= 1 / 516

= 1

So, Greatest Common Divisor of 821, 731, 584, 516 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 653, 831, 278, 678
• GCD of 709, 824, 103, 582
• GCD of 734, 772, 182, 658
• GCD of 842, 475, 306, 918
• GCD of 584, 118, 426, 682

Given numbers are 821, 731, 584, 516
The greatest common divisor of numbers 821, 731, 584, 516 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 821, 731, 584, 516 is 1.

1. What is the GCD of 821, 731, 584, 516?

GCD of given numbers 821, 731, 584, 516 is 1

2. How to calculate the greatest common divisor of 821, 731, 584, 516?

We can find the highest common divisor of 821, 731, 584, 516 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 821, 731, 584, 516 i.e 1.

3. How can I use the GCD of 821, 731, 584, 516Calculator?

Out the numbers 821, 731, 584, 516 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.