GCD of 820, 976, 565, 993 Calculator

Given Input numbers are 820, 976, 565, 993

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 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 565 :

The positive integer divisors of 565 that completely divides 565 are.

1, 5, 113, 565

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

GCD of numbers is the greatest common divisor

So, the GCD (820, 976, 565, 993) = 1.

Given numbers are 820, 976, 565, 993

The list of prime factors of all numbers are

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

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

Prime factors of 565 are 5 x 113

Prime factors of 993 are 3 x 331

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

Given numbers are 820, 976, 565, 993

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

Apply this formula for all numbers.

Step1:

LCM(820, 976) = 200080

GCD(820, 976) = ( 820 x 976 ) / 200080

= 820 / 976

= 820

Step2:

LCM(4, 565) = 2260

GCD(4, 565) = ( 4 x 565 ) / 2260

= 4 / 565

= 4

Step3:

LCM(1, 993) = 993

GCD(1, 993) = ( 1 x 993 ) / 993

= 1 / 993

= 1

So, Greatest Common Divisor of 820, 976, 565, 993 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 954, 538, 496, 159
• GCD of 666, 174, 590, 379
• GCD of 971, 699, 804, 667
• GCD of 809, 597, 712, 825
• GCD of 830, 545, 407, 815

Given numbers are 820, 976, 565, 993
The greatest common divisor of numbers 820, 976, 565, 993 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 976, 565, 993 is 1.

1. What is the GCD of 820, 976, 565, 993?

GCD of given numbers 820, 976, 565, 993 is 1

2. How to calculate the greatest common divisor of 820, 976, 565, 993?

We can find the highest common divisor of 820, 976, 565, 993 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, 976, 565, 993 i.e 1.

3. How can I use the GCD of 820, 976, 565, 993Calculator?

Out the numbers 820, 976, 565, 993 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.