GCD of 814, 987, 760, 321 Calculator

Given Input numbers are 814, 987, 760, 321

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

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

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 (814, 987, 760, 321) = 1.

Given numbers are 814, 987, 760, 321

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 987 are 3 x 7 x 47

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

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 814, 987, 760, 321

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

Apply this formula for all numbers.

Step1:

LCM(814, 987) = 803418

GCD(814, 987) = ( 814 x 987 ) / 803418

= 814 / 987

= 814

Step2:

LCM(1, 760) = 760

GCD(1, 760) = ( 1 x 760 ) / 760

= 1 / 760

= 1

Step3:

LCM(1, 321) = 321

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

= 1 / 321

= 1

So, Greatest Common Divisor of 814, 987, 760, 321 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 280, 607, 495, 356
• GCD of 506, 735, 507, 137
• GCD of 594, 809, 412, 937
• GCD of 216, 397, 104, 827
• GCD of 333, 313, 660, 793

Given numbers are 814, 987, 760, 321
The greatest common divisor of numbers 814, 987, 760, 321 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 987, 760, 321 is 1.

1. What is the GCD of 814, 987, 760, 321?

GCD of given numbers 814, 987, 760, 321 is 1

2. How to calculate the greatest common divisor of 814, 987, 760, 321?

We can find the highest common divisor of 814, 987, 760, 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 814, 987, 760, 321 i.e 1.

3. How can I use the GCD of 814, 987, 760, 321Calculator?

Out the numbers 814, 987, 760, 321 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.