GCD of 820, 971, 682, 992 Calculator

Given Input numbers are 820, 971, 682, 992

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

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

GCD of numbers is the greatest common divisor

So, the GCD (820, 971, 682, 992) = 1.

Given numbers are 820, 971, 682, 992

The list of prime factors of all numbers are

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 971 are 971

Prime factors of 682 are 2 x 11 x 31

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

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

Given numbers are 820, 971, 682, 992

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

Apply this formula for all numbers.

Step1:

LCM(820, 971) = 796220

GCD(820, 971) = ( 820 x 971 ) / 796220

= 820 / 971

= 820

Step2:

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

= 1 / 682

= 1

Step3:

LCM(1, 992) = 992

GCD(1, 992) = ( 1 x 992 ) / 992

= 1 / 992

= 1

So, Greatest Common Divisor of 820, 971, 682, 992 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 312, 404, 795, 799
• GCD of 554, 440, 432, 276
• GCD of 784, 621, 173, 216
• GCD of 903, 264, 607, 430
• GCD of 120, 368, 653, 390

Given numbers are 820, 971, 682, 992
The greatest common divisor of numbers 820, 971, 682, 992 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 971, 682, 992 is 1.

1. What is the GCD of 820, 971, 682, 992?

GCD of given numbers 820, 971, 682, 992 is 1

2. How to calculate the greatest common divisor of 820, 971, 682, 992?

We can find the highest common divisor of 820, 971, 682, 992 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 820, 971, 682, 992 i.e 1.

3. How can I use the GCD of 820, 971, 682, 992Calculator?

Out the numbers 820, 971, 682, 992 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.