GCD of 460, 654, 172, 213 Calculator

Given Input numbers are 460, 654, 172, 213

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

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 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

GCD of numbers is the greatest common divisor

So, the GCD (460, 654, 172, 213) = 1.

Given numbers are 460, 654, 172, 213

The list of prime factors of all numbers are

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

Prime factors of 654 are 2 x 3 x 109

Prime factors of 172 are 2 x 2 x 43

Prime factors of 213 are 3 x 71

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

Given numbers are 460, 654, 172, 213

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

Apply this formula for all numbers.

Step1:

LCM(460, 654) = 150420

GCD(460, 654) = ( 460 x 654 ) / 150420

= 460 / 654

= 460

Step2:

LCM(2, 172) = 172

GCD(2, 172) = ( 2 x 172 ) / 172

= 2 / 172

= 2

Step3:

LCM(2, 213) = 426

GCD(2, 213) = ( 2 x 213 ) / 426

= 2 / 213

= 2

So, Greatest Common Divisor of 460, 654, 172, 213 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 165, 350, 624, 197
• GCD of 184, 224, 423, 989
• GCD of 315, 993, 673, 938
• GCD of 741, 554, 977, 708
• GCD of 374, 860, 883, 106

Given numbers are 460, 654, 172, 213
The greatest common divisor of numbers 460, 654, 172, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 654, 172, 213 is 1.

1. What is the GCD of 460, 654, 172, 213?

GCD of given numbers 460, 654, 172, 213 is 1

2. How to calculate the greatest common divisor of 460, 654, 172, 213?

We can find the highest common divisor of 460, 654, 172, 213 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 460, 654, 172, 213 i.e 1.

3. How can I use the GCD of 460, 654, 172, 213Calculator?

Out the numbers 460, 654, 172, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.