GCD of 891, 990, 749, 211 Calculator

Given Input numbers are 891, 990, 749, 211

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 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 211 :

The positive integer divisors of 211 that completely divides 211 are.

1, 211

GCD of numbers is the greatest common divisor

So, the GCD (891, 990, 749, 211) = 1.

Given numbers are 891, 990, 749, 211

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 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 749 are 7 x 107

Prime factors of 211 are 211

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

Given numbers are 891, 990, 749, 211

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

Apply this formula for all numbers.

Step1:

LCM(891, 990) = 8910

GCD(891, 990) = ( 891 x 990 ) / 8910

= 891 / 990

= 891

Step2:

LCM(99, 749) = 74151

GCD(99, 749) = ( 99 x 749 ) / 74151

= 99 / 749

= 99

Step3:

LCM(1, 211) = 211

GCD(1, 211) = ( 1 x 211 ) / 211

= 1 / 211

= 1

So, Greatest Common Divisor of 891, 990, 749, 211 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 382, 667, 889, 684
• GCD of 935, 404, 437, 156
• GCD of 693, 934, 648, 611
• GCD of 227, 874, 152, 832
• GCD of 775, 604, 698, 755

Given numbers are 891, 990, 749, 211
The greatest common divisor of numbers 891, 990, 749, 211 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 891, 990, 749, 211 is 1.

1. What is the GCD of 891, 990, 749, 211?

GCD of given numbers 891, 990, 749, 211 is 1

2. How to calculate the greatest common divisor of 891, 990, 749, 211?

We can find the highest common divisor of 891, 990, 749, 211 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, 990, 749, 211 i.e 1.

3. How can I use the GCD of 891, 990, 749, 211Calculator?

Out the numbers 891, 990, 749, 211 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.