GCD of 170, 293, 21 Calculator

Given Input numbers are 170, 293, 21

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

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 293 :

The positive integer divisors of 293 that completely divides 293 are.

1, 293

Divisors of 21 :

The positive integer divisors of 21 that completely divides 21 are.

1, 3, 7, 21

GCD of numbers is the greatest common divisor

So, the GCD (170, 293, 21) = 1.

Given numbers are 170, 293, 21

The list of prime factors of all numbers are

Prime factors of 170 are 2 x 5 x 17

Prime factors of 293 are 293

Prime factors of 21 are 3 x 7

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

Given numbers are 170, 293, 21

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

Apply this formula for all numbers.

Step1:

LCM(170, 293) = 49810

GCD(170, 293) = ( 170 x 293 ) / 49810

= 170 / 293

= 170

Step2:

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

= 1 / 21

= 1

So, Greatest Common Divisor of 170, 293, 21 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 520, 717, 55
• GCD of 525, 155, 24
• GCD of 547, 815, 98
• GCD of 490, 138, 54
• GCD of 768, 721, 11

Given numbers are 170, 293, 21
The greatest common divisor of numbers 170, 293, 21 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 293, 21 is 1.

1. What is the GCD of 170, 293, 21?

GCD of given numbers 170, 293, 21 is 1

2. How to calculate the greatest common divisor of 170, 293, 21?

We can find the highest common divisor of 170, 293, 21 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 170, 293, 21 i.e 1.

3. How can I use the GCD of 170, 293, 21Calculator?

Out the numbers 170, 293, 21 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.