GCD of 891, 112, 315, 109 Calculator

Given Input numbers are 891, 112, 315, 109

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 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

GCD of numbers is the greatest common divisor

So, the GCD (891, 112, 315, 109) = 1.

Given numbers are 891, 112, 315, 109

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 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 109 are 109

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

Given numbers are 891, 112, 315, 109

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

Apply this formula for all numbers.

Step1:

LCM(891, 112) = 99792

GCD(891, 112) = ( 891 x 112 ) / 99792

= 891 / 112

= 891

Step2:

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

= 1 / 315

= 1

Step3:

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

= 1 / 109

= 1

So, Greatest Common Divisor of 891, 112, 315, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 586, 392, 833, 991
• GCD of 555, 224, 525, 259
• GCD of 220, 875, 351, 237
• GCD of 561, 996, 710, 884
• GCD of 719, 183, 637, 147

Given numbers are 891, 112, 315, 109
The greatest common divisor of numbers 891, 112, 315, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 891, 112, 315, 109 is 1.

1. What is the GCD of 891, 112, 315, 109?

GCD of given numbers 891, 112, 315, 109 is 1

2. How to calculate the greatest common divisor of 891, 112, 315, 109?

We can find the highest common divisor of 891, 112, 315, 109 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, 112, 315, 109 i.e 1.

3. How can I use the GCD of 891, 112, 315, 109Calculator?

Out the numbers 891, 112, 315, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.