GCD of 891, 242, 600, 852 Calculator

Given Input numbers are 891, 242, 600, 852

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

Divisors of 891 :

The positive integer divisors of 891 that completely divides 891 are.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 242 :

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

1, 2, 11, 22, 121, 242

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

GCD of numbers is the greatest common divisor

So, the GCD (891, 242, 600, 852) = 1.

Given numbers are 891, 242, 600, 852

The list of prime factors of all numbers are

Prime factors of 891 are 3 x 3 x 3 x 3 x 11

Prime factors of 242 are 2 x 11 x 11

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 852 are 2 x 2 x 3 x 71

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

Given numbers are 891, 242, 600, 852

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

Apply this formula for all numbers.

Step1:

LCM(891, 242) = 19602

GCD(891, 242) = ( 891 x 242 ) / 19602

= 891 / 242

= 891

Step2:

LCM(11, 600) = 6600

GCD(11, 600) = ( 11 x 600 ) / 6600

= 11 / 600

= 11

Step3:

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

= 1 / 852

= 1

So, Greatest Common Divisor of 891, 242, 600, 852 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 242, 679, 267, 656
• GCD of 129, 769, 405, 821
• GCD of 277, 141, 225, 850
• GCD of 280, 544, 977, 637
• GCD of 756, 944, 470, 497

Given numbers are 891, 242, 600, 852
The greatest common divisor of numbers 891, 242, 600, 852 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 891, 242, 600, 852 is 1.

1. What is the GCD of 891, 242, 600, 852?

GCD of given numbers 891, 242, 600, 852 is 1

2. How to calculate the greatest common divisor of 891, 242, 600, 852?

We can find the highest common divisor of 891, 242, 600, 852 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 891, 242, 600, 852 i.e 1.

3. How can I use the GCD of 891, 242, 600, 852Calculator?

Out the numbers 891, 242, 600, 852 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.