GCD of 170, 217, 460, 421 Calculator

Given Input numbers are 170, 217, 460, 421

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 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 421 :

The positive integer divisors of 421 that completely divides 421 are.

1, 421

GCD of numbers is the greatest common divisor

So, the GCD (170, 217, 460, 421) = 1.

Given numbers are 170, 217, 460, 421

The list of prime factors of all numbers are

Prime factors of 170 are 2 x 5 x 17

Prime factors of 217 are 7 x 31

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 421 are 421

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

Given numbers are 170, 217, 460, 421

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

Apply this formula for all numbers.

Step1:

LCM(170, 217) = 36890

GCD(170, 217) = ( 170 x 217 ) / 36890

= 170 / 217

= 170

Step2:

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

= 1 / 460

= 1

Step3:

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

= 1 / 421

= 1

So, Greatest Common Divisor of 170, 217, 460, 421 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 107, 920, 243, 813
• GCD of 972, 233, 656, 179
• GCD of 230, 724, 633, 155
• GCD of 289, 761, 272, 424
• GCD of 209, 565, 184, 668

Given numbers are 170, 217, 460, 421
The greatest common divisor of numbers 170, 217, 460, 421 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 217, 460, 421 is 1.

1. What is the GCD of 170, 217, 460, 421?

GCD of given numbers 170, 217, 460, 421 is 1

2. How to calculate the greatest common divisor of 170, 217, 460, 421?

We can find the highest common divisor of 170, 217, 460, 421 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, 217, 460, 421 i.e 1.

3. How can I use the GCD of 170, 217, 460, 421Calculator?

Out the numbers 170, 217, 460, 421 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.