GCD of 709, 501, 756, 321 Calculator

Given Input numbers are 709, 501, 756, 321

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

Divisors of 709 :

The positive integer divisors of 709 that completely divides 709 are.

1, 709

Divisors of 501 :

The positive integer divisors of 501 that completely divides 501 are.

1, 3, 167, 501

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

GCD of numbers is the greatest common divisor

So, the GCD (709, 501, 756, 321) = 1.

Given numbers are 709, 501, 756, 321

The list of prime factors of all numbers are

Prime factors of 709 are 709

Prime factors of 501 are 3 x 167

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 321 are 3 x 107

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

Given numbers are 709, 501, 756, 321

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

Apply this formula for all numbers.

Step1:

LCM(709, 501) = 355209

GCD(709, 501) = ( 709 x 501 ) / 355209

= 709 / 501

= 709

Step2:

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

= 1 / 756

= 1

Step3:

LCM(1, 321) = 321

GCD(1, 321) = ( 1 x 321 ) / 321

= 1 / 321

= 1

So, Greatest Common Divisor of 709, 501, 756, 321 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 293, 420, 117, 649
• GCD of 794, 446, 457, 754
• GCD of 402, 948, 841, 628
• GCD of 256, 565, 756, 700
• GCD of 178, 376, 365, 737

Given numbers are 709, 501, 756, 321
The greatest common divisor of numbers 709, 501, 756, 321 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 709, 501, 756, 321 is 1.

1. What is the GCD of 709, 501, 756, 321?

GCD of given numbers 709, 501, 756, 321 is 1

2. How to calculate the greatest common divisor of 709, 501, 756, 321?

We can find the highest common divisor of 709, 501, 756, 321 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 709, 501, 756, 321 i.e 1.

3. How can I use the GCD of 709, 501, 756, 321Calculator?

Out the numbers 709, 501, 756, 321 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.