GCD of 820, 296, 371, 900 Calculator

Given Input numbers are 820, 296, 371, 900

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 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 371 :

The positive integer divisors of 371 that completely divides 371 are.

1, 7, 53, 371

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

GCD of numbers is the greatest common divisor

So, the GCD (820, 296, 371, 900) = 1.

Given numbers are 820, 296, 371, 900

The list of prime factors of all numbers are

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

Prime factors of 296 are 2 x 2 x 2 x 37

Prime factors of 371 are 7 x 53

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

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

Given numbers are 820, 296, 371, 900

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

Apply this formula for all numbers.

Step1:

LCM(820, 296) = 60680

GCD(820, 296) = ( 820 x 296 ) / 60680

= 820 / 296

= 820

Step2:

LCM(4, 371) = 1484

GCD(4, 371) = ( 4 x 371 ) / 1484

= 4 / 371

= 4

Step3:

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

= 1 / 900

= 1

So, Greatest Common Divisor of 820, 296, 371, 900 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 752, 597, 797, 576
• GCD of 909, 406, 780, 404
• GCD of 876, 434, 932, 388
• GCD of 146, 881, 595, 686
• GCD of 350, 687, 369, 970

Given numbers are 820, 296, 371, 900
The greatest common divisor of numbers 820, 296, 371, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 296, 371, 900 is 1.

1. What is the GCD of 820, 296, 371, 900?

GCD of given numbers 820, 296, 371, 900 is 1

2. How to calculate the greatest common divisor of 820, 296, 371, 900?

We can find the highest common divisor of 820, 296, 371, 900 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, 296, 371, 900 i.e 1.

3. How can I use the GCD of 820, 296, 371, 900Calculator?

Out the numbers 820, 296, 371, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.