GCD of 300, 820, 402, 997 Calculator

Given Input numbers are 300, 820, 402, 997

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

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

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 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 997 :

The positive integer divisors of 997 that completely divides 997 are.

1, 997

GCD of numbers is the greatest common divisor

So, the GCD (300, 820, 402, 997) = 1.

Given numbers are 300, 820, 402, 997

The list of prime factors of all numbers are

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

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

Prime factors of 402 are 2 x 3 x 67

Prime factors of 997 are 997

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

Given numbers are 300, 820, 402, 997

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

Apply this formula for all numbers.

Step1:

LCM(300, 820) = 12300

GCD(300, 820) = ( 300 x 820 ) / 12300

= 300 / 820

= 300

Step2:

LCM(20, 402) = 4020

GCD(20, 402) = ( 20 x 402 ) / 4020

= 20 / 402

= 20

Step3:

LCM(2, 997) = 1994

GCD(2, 997) = ( 2 x 997 ) / 1994

= 2 / 997

= 2

So, Greatest Common Divisor of 300, 820, 402, 997 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 594, 265, 941, 947
• GCD of 265, 422, 976, 855
• GCD of 757, 493, 991, 407
• GCD of 794, 301, 642, 391
• GCD of 573, 933, 412, 427

Given numbers are 300, 820, 402, 997
The greatest common divisor of numbers 300, 820, 402, 997 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 820, 402, 997 is 1.

1. What is the GCD of 300, 820, 402, 997?

GCD of given numbers 300, 820, 402, 997 is 1

2. How to calculate the greatest common divisor of 300, 820, 402, 997?

We can find the highest common divisor of 300, 820, 402, 997 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 300, 820, 402, 997 i.e 1.

3. How can I use the GCD of 300, 820, 402, 997Calculator?

Out the numbers 300, 820, 402, 997 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.