GCD of 273, 900, 822, 962 Calculator

Given Input numbers are 273, 900, 822, 962

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

Divisors of 273 :

The positive integer divisors of 273 that completely divides 273 are.

1, 3, 7, 13, 21, 39, 91, 273

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

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 962 :

The positive integer divisors of 962 that completely divides 962 are.

1, 2, 13, 26, 37, 74, 481, 962

GCD of numbers is the greatest common divisor

So, the GCD (273, 900, 822, 962) = 1.

Given numbers are 273, 900, 822, 962

The list of prime factors of all numbers are

Prime factors of 273 are 3 x 7 x 13

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

Prime factors of 822 are 2 x 3 x 137

Prime factors of 962 are 2 x 13 x 37

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

Given numbers are 273, 900, 822, 962

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

Apply this formula for all numbers.

Step1:

LCM(273, 900) = 81900

GCD(273, 900) = ( 273 x 900 ) / 81900

= 273 / 900

= 273

Step2:

LCM(3, 822) = 822

GCD(3, 822) = ( 3 x 822 ) / 822

= 3 / 822

= 3

Step3:

LCM(3, 962) = 2886

GCD(3, 962) = ( 3 x 962 ) / 2886

= 3 / 962

= 3

So, Greatest Common Divisor of 273, 900, 822, 962 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 970, 790, 333, 761
• GCD of 837, 414, 101, 161
• GCD of 395, 615, 794, 274
• GCD of 599, 276, 224, 724
• GCD of 763, 735, 556, 510

Given numbers are 273, 900, 822, 962
The greatest common divisor of numbers 273, 900, 822, 962 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 273, 900, 822, 962 is 1.

1. What is the GCD of 273, 900, 822, 962?

GCD of given numbers 273, 900, 822, 962 is 1

2. How to calculate the greatest common divisor of 273, 900, 822, 962?

We can find the highest common divisor of 273, 900, 822, 962 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 273, 900, 822, 962 i.e 1.

3. How can I use the GCD of 273, 900, 822, 962Calculator?

Out the numbers 273, 900, 822, 962 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.