GCD of 400, 242, 809, 965 Calculator

Given Input numbers are 400, 242, 809, 965

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

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 809 :

The positive integer divisors of 809 that completely divides 809 are.

1, 809

Divisors of 965 :

The positive integer divisors of 965 that completely divides 965 are.

1, 5, 193, 965

GCD of numbers is the greatest common divisor

So, the GCD (400, 242, 809, 965) = 1.

Given numbers are 400, 242, 809, 965

The list of prime factors of all numbers are

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 242 are 2 x 11 x 11

Prime factors of 809 are 809

Prime factors of 965 are 5 x 193

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

Given numbers are 400, 242, 809, 965

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

Apply this formula for all numbers.

Step1:

LCM(400, 242) = 48400

GCD(400, 242) = ( 400 x 242 ) / 48400

= 400 / 242

= 400

Step2:

LCM(2, 809) = 1618

GCD(2, 809) = ( 2 x 809 ) / 1618

= 2 / 809

= 2

Step3:

LCM(1, 965) = 965

GCD(1, 965) = ( 1 x 965 ) / 965

= 1 / 965

= 1

So, Greatest Common Divisor of 400, 242, 809, 965 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 198, 365, 195, 871
• GCD of 273, 982, 468, 494
• GCD of 777, 513, 379, 386
• GCD of 164, 779, 514, 162
• GCD of 172, 999, 508, 117

Given numbers are 400, 242, 809, 965
The greatest common divisor of numbers 400, 242, 809, 965 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 242, 809, 965 is 1.

1. What is the GCD of 400, 242, 809, 965?

GCD of given numbers 400, 242, 809, 965 is 1

2. How to calculate the greatest common divisor of 400, 242, 809, 965?

We can find the highest common divisor of 400, 242, 809, 965 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 400, 242, 809, 965 i.e 1.

3. How can I use the GCD of 400, 242, 809, 965Calculator?

Out the numbers 400, 242, 809, 965 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.