GCD of 213, 141, 225, 428 Calculator

Given Input numbers are 213, 141, 225, 428

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

Divisors of 213 :

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

1, 3, 71, 213

Divisors of 141 :

The positive integer divisors of 141 that completely divides 141 are.

1, 3, 47, 141

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

GCD of numbers is the greatest common divisor

So, the GCD (213, 141, 225, 428) = 1.

Given numbers are 213, 141, 225, 428

The list of prime factors of all numbers are

Prime factors of 213 are 3 x 71

Prime factors of 141 are 3 x 47

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 428 are 2 x 2 x 107

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

Given numbers are 213, 141, 225, 428

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

Apply this formula for all numbers.

Step1:

LCM(213, 141) = 10011

GCD(213, 141) = ( 213 x 141 ) / 10011

= 213 / 141

= 213

Step2:

LCM(3, 225) = 225

GCD(3, 225) = ( 3 x 225 ) / 225

= 3 / 225

= 3

Step3:

LCM(3, 428) = 1284

GCD(3, 428) = ( 3 x 428 ) / 1284

= 3 / 428

= 3

So, Greatest Common Divisor of 213, 141, 225, 428 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 968, 568, 149, 899
• GCD of 712, 914, 725, 591
• GCD of 976, 365, 432, 252
• GCD of 670, 917, 975, 876
• GCD of 228, 787, 781, 307

Given numbers are 213, 141, 225, 428
The greatest common divisor of numbers 213, 141, 225, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 213, 141, 225, 428 is 1.

1. What is the GCD of 213, 141, 225, 428?

GCD of given numbers 213, 141, 225, 428 is 1

2. How to calculate the greatest common divisor of 213, 141, 225, 428?

We can find the highest common divisor of 213, 141, 225, 428 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 213, 141, 225, 428 i.e 1.

3. How can I use the GCD of 213, 141, 225, 428Calculator?

Out the numbers 213, 141, 225, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.