GCD of 967, 361, 509, 215 Calculator

Given Input numbers are 967, 361, 509, 215

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

Divisors of 967 :

The positive integer divisors of 967 that completely divides 967 are.

1, 967

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 509 :

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

1, 509

Divisors of 215 :

The positive integer divisors of 215 that completely divides 215 are.

1, 5, 43, 215

GCD of numbers is the greatest common divisor

So, the GCD (967, 361, 509, 215) = 1.

Given numbers are 967, 361, 509, 215

The list of prime factors of all numbers are

Prime factors of 967 are 967

Prime factors of 361 are 19 x 19

Prime factors of 509 are 509

Prime factors of 215 are 5 x 43

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

Given numbers are 967, 361, 509, 215

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

Apply this formula for all numbers.

Step1:

LCM(967, 361) = 349087

GCD(967, 361) = ( 967 x 361 ) / 349087

= 967 / 361

= 967

Step2:

LCM(1, 509) = 509

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

= 1 / 509

= 1

Step3:

LCM(1, 215) = 215

GCD(1, 215) = ( 1 x 215 ) / 215

= 1 / 215

= 1

So, Greatest Common Divisor of 967, 361, 509, 215 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 971, 597, 656, 524
• GCD of 153, 621, 769, 510
• GCD of 343, 945, 721, 164
• GCD of 260, 788, 472, 848
• GCD of 273, 187, 390, 723

Given numbers are 967, 361, 509, 215
The greatest common divisor of numbers 967, 361, 509, 215 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 967, 361, 509, 215 is 1.

1. What is the GCD of 967, 361, 509, 215?

GCD of given numbers 967, 361, 509, 215 is 1

2. How to calculate the greatest common divisor of 967, 361, 509, 215?

We can find the highest common divisor of 967, 361, 509, 215 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 967, 361, 509, 215 i.e 1.

3. How can I use the GCD of 967, 361, 509, 215Calculator?

Out the numbers 967, 361, 509, 215 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.