GCD of 123, 969, 272, 161 Calculator

Given Input numbers are 123, 969, 272, 161

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

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 161 :

The positive integer divisors of 161 that completely divides 161 are.

1, 7, 23, 161

GCD of numbers is the greatest common divisor

So, the GCD (123, 969, 272, 161) = 1.

Given numbers are 123, 969, 272, 161

The list of prime factors of all numbers are

Prime factors of 123 are 3 x 41

Prime factors of 969 are 3 x 17 x 19

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 161 are 7 x 23

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

Given numbers are 123, 969, 272, 161

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

Apply this formula for all numbers.

Step1:

LCM(123, 969) = 39729

GCD(123, 969) = ( 123 x 969 ) / 39729

= 123 / 969

= 123

Step2:

LCM(3, 272) = 816

GCD(3, 272) = ( 3 x 272 ) / 816

= 3 / 272

= 3

Step3:

LCM(1, 161) = 161

GCD(1, 161) = ( 1 x 161 ) / 161

= 1 / 161

= 1

So, Greatest Common Divisor of 123, 969, 272, 161 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 678, 675, 447, 775
• GCD of 909, 950, 190, 705
• GCD of 789, 123, 207, 646
• GCD of 107, 810, 695, 641
• GCD of 927, 379, 272, 394

Given numbers are 123, 969, 272, 161
The greatest common divisor of numbers 123, 969, 272, 161 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 969, 272, 161 is 1.

1. What is the GCD of 123, 969, 272, 161?

GCD of given numbers 123, 969, 272, 161 is 1

2. How to calculate the greatest common divisor of 123, 969, 272, 161?

We can find the highest common divisor of 123, 969, 272, 161 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 123, 969, 272, 161 i.e 1.

3. How can I use the GCD of 123, 969, 272, 161Calculator?

Out the numbers 123, 969, 272, 161 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.