GCD of 191, 138, 509, 961 Calculator

Given Input numbers are 191, 138, 509, 961

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

Divisors of 191 :

The positive integer divisors of 191 that completely divides 191 are.

1, 191

Divisors of 138 :

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

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

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

GCD of numbers is the greatest common divisor

So, the GCD (191, 138, 509, 961) = 1.

Given numbers are 191, 138, 509, 961

The list of prime factors of all numbers are

Prime factors of 191 are 191

Prime factors of 138 are 2 x 3 x 23

Prime factors of 509 are 509

Prime factors of 961 are 31 x 31

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

Given numbers are 191, 138, 509, 961

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

Apply this formula for all numbers.

Step1:

LCM(191, 138) = 26358

GCD(191, 138) = ( 191 x 138 ) / 26358

= 191 / 138

= 191

Step2:

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

= 1 / 509

= 1

Step3:

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

= 1 / 961

= 1

So, Greatest Common Divisor of 191, 138, 509, 961 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 257, 842, 742, 810
• GCD of 789, 450, 998, 779
• GCD of 468, 323, 557, 421
• GCD of 825, 122, 605, 786
• GCD of 156, 993, 804, 465

Given numbers are 191, 138, 509, 961
The greatest common divisor of numbers 191, 138, 509, 961 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 191, 138, 509, 961 is 1.

1. What is the GCD of 191, 138, 509, 961?

GCD of given numbers 191, 138, 509, 961 is 1

2. How to calculate the greatest common divisor of 191, 138, 509, 961?

We can find the highest common divisor of 191, 138, 509, 961 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 191, 138, 509, 961 i.e 1.

3. How can I use the GCD of 191, 138, 509, 961Calculator?

Out the numbers 191, 138, 509, 961 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.