GCD of 110, 891, 609, 742 Calculator

Given Input numbers are 110, 891, 609, 742

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

Divisors of 110 :

The positive integer divisors of 110 that completely divides 110 are.

1, 2, 5, 10, 11, 22, 55, 110

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 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

GCD of numbers is the greatest common divisor

So, the GCD (110, 891, 609, 742) = 1.

Given numbers are 110, 891, 609, 742

The list of prime factors of all numbers are

Prime factors of 110 are 2 x 5 x 11

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

Prime factors of 609 are 3 x 7 x 29

Prime factors of 742 are 2 x 7 x 53

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

Given numbers are 110, 891, 609, 742

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

Apply this formula for all numbers.

Step1:

LCM(110, 891) = 8910

GCD(110, 891) = ( 110 x 891 ) / 8910

= 110 / 891

= 110

Step2:

LCM(11, 609) = 6699

GCD(11, 609) = ( 11 x 609 ) / 6699

= 11 / 609

= 11

Step3:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1

So, Greatest Common Divisor of 110, 891, 609, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 259, 653, 958, 909
• GCD of 673, 552, 477, 686
• GCD of 422, 788, 754, 303
• GCD of 317, 803, 400, 519
• GCD of 728, 736, 101, 780

Given numbers are 110, 891, 609, 742
The greatest common divisor of numbers 110, 891, 609, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 110, 891, 609, 742 is 1.

1. What is the GCD of 110, 891, 609, 742?

GCD of given numbers 110, 891, 609, 742 is 1

2. How to calculate the greatest common divisor of 110, 891, 609, 742?

We can find the highest common divisor of 110, 891, 609, 742 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 110, 891, 609, 742 i.e 1.

3. How can I use the GCD of 110, 891, 609, 742Calculator?

Out the numbers 110, 891, 609, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.