GCD of 477, 597, 213, 918 Calculator

Given Input numbers are 477, 597, 213, 918

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 597 :

The positive integer divisors of 597 that completely divides 597 are.

1, 3, 199, 597

Divisors of 213 :

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

1, 3, 71, 213

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

GCD of numbers is the greatest common divisor

So, the GCD (477, 597, 213, 918) = 3.

Given numbers are 477, 597, 213, 918

The list of prime factors of all numbers are

Prime factors of 477 are 3 x 3 x 53

Prime factors of 597 are 3 x 199

Prime factors of 213 are 3 x 71

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 477, 597, 213, 918 is 3.

Given numbers are 477, 597, 213, 918

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

Apply this formula for all numbers.

Step1:

LCM(477, 597) = 94923

GCD(477, 597) = ( 477 x 597 ) / 94923

= 477 / 597

= 477

Step2:

LCM(3, 213) = 213

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

= 3 / 213

= 3

Step3:

LCM(3, 918) = 918

GCD(3, 918) = ( 3 x 918 ) / 918

= 3 / 918

= 3

So, Greatest Common Divisor of 477, 597, 213, 918 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 170, 786, 410, 293
• GCD of 866, 363, 967, 680
• GCD of 456, 366, 468, 835
• GCD of 561, 264, 697, 144
• GCD of 101, 918, 736, 484

Given numbers are 477, 597, 213, 918
The greatest common divisor of numbers 477, 597, 213, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 477, 597, 213, 918 is 3.

1. What is the GCD of 477, 597, 213, 918?

GCD of given numbers 477, 597, 213, 918 is 3

2. How to calculate the greatest common divisor of 477, 597, 213, 918?

We can find the highest common divisor of 477, 597, 213, 918 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, 597, 213, 918 i.e 3.

3. How can I use the GCD of 477, 597, 213, 918Calculator?

Out the numbers 477, 597, 213, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.