GCD of 477, 870, 129, 213 Calculator

Given Input numbers are 477, 870, 129, 213

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

Divisors of 477 :

The positive integer divisors of 477 that completely divides 477 are.

1, 3, 9, 53, 159, 477

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 129 :

The positive integer divisors of 129 that completely divides 129 are.

1, 3, 43, 129

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 (477, 870, 129, 213) = 3.

Given numbers are 477, 870, 129, 213

The list of prime factors of all numbers are

Prime factors of 477 are 3 x 3 x 53

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 129 are 3 x 43

Prime factors of 213 are 3 x 71

The highest common occurrence is 3¹

Therefore, GCD of 477, 870, 129, 213 is 3.

Given numbers are 477, 870, 129, 213

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

Apply this formula for all numbers.

Step1:

LCM(477, 870) = 138330

GCD(477, 870) = ( 477 x 870 ) / 138330

= 477 / 870

= 477

Step2:

LCM(3, 129) = 129

GCD(3, 129) = ( 3 x 129 ) / 129

= 3 / 129

= 3

Step3:

LCM(3, 213) = 213

GCD(3, 213) = ( 3 x 213 ) / 213

= 3 / 213

= 3

So, Greatest Common Divisor of 477, 870, 129, 213 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 830, 527, 818, 449
• GCD of 558, 683, 177, 804
• GCD of 670, 372, 587, 204
• GCD of 899, 202, 428, 237
• GCD of 620, 306, 127, 475

Given numbers are 477, 870, 129, 213
The greatest common divisor of numbers 477, 870, 129, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 477, 870, 129, 213 is 3.

1. What is the GCD of 477, 870, 129, 213?

GCD of given numbers 477, 870, 129, 213 is 3

2. How to calculate the greatest common divisor of 477, 870, 129, 213?

We can find the highest common divisor of 477, 870, 129, 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 477, 870, 129, 213 i.e 3.

3. How can I use the GCD of 477, 870, 129, 213Calculator?

Out the numbers 477, 870, 129, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.