GCD of 891, 748, 917, 965 Calculator

Given Input numbers are 891, 748, 917, 965

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 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 917 :

The positive integer divisors of 917 that completely divides 917 are.

1, 7, 131, 917

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 (891, 748, 917, 965) = 1.

Given numbers are 891, 748, 917, 965

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 748 are 2 x 2 x 11 x 17

Prime factors of 917 are 7 x 131

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 891, 748, 917, 965

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

Apply this formula for all numbers.

Step1:

LCM(891, 748) = 60588

GCD(891, 748) = ( 891 x 748 ) / 60588

= 891 / 748

= 891

Step2:

LCM(11, 917) = 10087

GCD(11, 917) = ( 11 x 917 ) / 10087

= 11 / 917

= 11

Step3:

LCM(1, 965) = 965

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

= 1 / 965

= 1

So, Greatest Common Divisor of 891, 748, 917, 965 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 366, 836, 353, 626
• GCD of 194, 203, 808, 363
• GCD of 588, 201, 429, 368
• GCD of 216, 357, 111, 560
• GCD of 683, 749, 367, 906

Given numbers are 891, 748, 917, 965
The greatest common divisor of numbers 891, 748, 917, 965 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 891, 748, 917, 965 is 1.

1. What is the GCD of 891, 748, 917, 965?

GCD of given numbers 891, 748, 917, 965 is 1

2. How to calculate the greatest common divisor of 891, 748, 917, 965?

We can find the highest common divisor of 891, 748, 917, 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 891, 748, 917, 965 i.e 1.

3. How can I use the GCD of 891, 748, 917, 965Calculator?

Out the numbers 891, 748, 917, 965 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.