GCD of 820, 200, 144, 197 Calculator

Given Input numbers are 820, 200, 144, 197

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 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 197 :

The positive integer divisors of 197 that completely divides 197 are.

1, 197

GCD of numbers is the greatest common divisor

So, the GCD (820, 200, 144, 197) = 1.

Given numbers are 820, 200, 144, 197

The list of prime factors of all numbers are

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

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 197 are 197

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

Given numbers are 820, 200, 144, 197

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

Apply this formula for all numbers.

Step1:

LCM(820, 200) = 8200

GCD(820, 200) = ( 820 x 200 ) / 8200

= 820 / 200

= 820

Step2:

LCM(20, 144) = 720

GCD(20, 144) = ( 20 x 144 ) / 720

= 20 / 144

= 20

Step3:

LCM(4, 197) = 788

GCD(4, 197) = ( 4 x 197 ) / 788

= 4 / 197

= 4

So, Greatest Common Divisor of 820, 200, 144, 197 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 975, 956, 768, 900
• GCD of 976, 839, 185, 917
• GCD of 185, 303, 851, 966
• GCD of 925, 359, 574, 938
• GCD of 850, 287, 725, 147

Given numbers are 820, 200, 144, 197
The greatest common divisor of numbers 820, 200, 144, 197 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 200, 144, 197 is 1.

1. What is the GCD of 820, 200, 144, 197?

GCD of given numbers 820, 200, 144, 197 is 1

2. How to calculate the greatest common divisor of 820, 200, 144, 197?

We can find the highest common divisor of 820, 200, 144, 197 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, 200, 144, 197 i.e 1.

3. How can I use the GCD of 820, 200, 144, 197Calculator?

Out the numbers 820, 200, 144, 197 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.