GCD of 916, 138, 22, 109 Calculator

Given Input numbers are 916, 138, 22, 109

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

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 22 :

The positive integer divisors of 22 that completely divides 22 are.

1, 2, 11, 22

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 (916, 138, 22, 109) = 1.

Given numbers are 916, 138, 22, 109

The list of prime factors of all numbers are

Prime factors of 916 are 2 x 2 x 229

Prime factors of 138 are 2 x 3 x 23

Prime factors of 22 are 2 x 11

Prime factors of 109 are 109

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

Given numbers are 916, 138, 22, 109

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

Apply this formula for all numbers.

Step1:

LCM(916, 138) = 63204

GCD(916, 138) = ( 916 x 138 ) / 63204

= 916 / 138

= 916

Step2:

LCM(2, 22) = 22

GCD(2, 22) = ( 2 x 22 ) / 22

= 2 / 22

= 2

Step3:

LCM(2, 109) = 218

GCD(2, 109) = ( 2 x 109 ) / 218

= 2 / 109

= 2

So, Greatest Common Divisor of 916, 138, 22, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 450, 207, 56, 507
• GCD of 897, 292, 93, 316
• GCD of 246, 150, 51, 106
• GCD of 163, 863, 66, 195
• GCD of 747, 421, 64, 512

Given numbers are 916, 138, 22, 109
The greatest common divisor of numbers 916, 138, 22, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 916, 138, 22, 109 is 1.

1. What is the GCD of 916, 138, 22, 109?

GCD of given numbers 916, 138, 22, 109 is 1

2. How to calculate the greatest common divisor of 916, 138, 22, 109?

We can find the highest common divisor of 916, 138, 22, 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 916, 138, 22, 109 i.e 1.

3. How can I use the GCD of 916, 138, 22, 109Calculator?

Out the numbers 916, 138, 22, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.