GCD of 821, 980, 754, 324 Calculator

Given Input numbers are 821, 980, 754, 324

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 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 754 :

The positive integer divisors of 754 that completely divides 754 are.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

GCD of numbers is the greatest common divisor

So, the GCD (821, 980, 754, 324) = 1.

Given numbers are 821, 980, 754, 324

The list of prime factors of all numbers are

Prime factors of 821 are 821

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 754 are 2 x 13 x 29

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

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

Given numbers are 821, 980, 754, 324

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

Apply this formula for all numbers.

Step1:

LCM(821, 980) = 804580

GCD(821, 980) = ( 821 x 980 ) / 804580

= 821 / 980

= 821

Step2:

LCM(1, 754) = 754

GCD(1, 754) = ( 1 x 754 ) / 754

= 1 / 754

= 1

Step3:

LCM(1, 324) = 324

GCD(1, 324) = ( 1 x 324 ) / 324

= 1 / 324

= 1

So, Greatest Common Divisor of 821, 980, 754, 324 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 367, 968, 564, 568
• GCD of 313, 520, 837, 605
• GCD of 105, 383, 253, 114
• GCD of 427, 300, 944, 493
• GCD of 355, 122, 880, 912

Given numbers are 821, 980, 754, 324
The greatest common divisor of numbers 821, 980, 754, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 821, 980, 754, 324 is 1.

1. What is the GCD of 821, 980, 754, 324?

GCD of given numbers 821, 980, 754, 324 is 1

2. How to calculate the greatest common divisor of 821, 980, 754, 324?

We can find the highest common divisor of 821, 980, 754, 324 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, 980, 754, 324 i.e 1.

3. How can I use the GCD of 821, 980, 754, 324Calculator?

Out the numbers 821, 980, 754, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.