GCD of 477, 708, 894, 516 Calculator

Given Input numbers are 477, 708, 894, 516

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 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

GCD of numbers is the greatest common divisor

So, the GCD (477, 708, 894, 516) = 3.

Given numbers are 477, 708, 894, 516

The list of prime factors of all numbers are

Prime factors of 477 are 3 x 3 x 53

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 894 are 2 x 3 x 149

Prime factors of 516 are 2 x 2 x 3 x 43

The highest common occurrence is 3¹

Therefore, GCD of 477, 708, 894, 516 is 3.

Given numbers are 477, 708, 894, 516

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

Apply this formula for all numbers.

Step1:

LCM(477, 708) = 112572

GCD(477, 708) = ( 477 x 708 ) / 112572

= 477 / 708

= 477

Step2:

LCM(3, 894) = 894

GCD(3, 894) = ( 3 x 894 ) / 894

= 3 / 894

= 3

Step3:

LCM(3, 516) = 516

GCD(3, 516) = ( 3 x 516 ) / 516

= 3 / 516

= 3

So, Greatest Common Divisor of 477, 708, 894, 516 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 534, 618, 121, 835
• GCD of 608, 476, 691, 225
• GCD of 439, 746, 196, 440
• GCD of 138, 663, 506, 486
• GCD of 274, 511, 697, 165

Given numbers are 477, 708, 894, 516
The greatest common divisor of numbers 477, 708, 894, 516 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 477, 708, 894, 516 is 3.

1. What is the GCD of 477, 708, 894, 516?

GCD of given numbers 477, 708, 894, 516 is 3

2. How to calculate the greatest common divisor of 477, 708, 894, 516?

We can find the highest common divisor of 477, 708, 894, 516 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, 708, 894, 516 i.e 3.

3. How can I use the GCD of 477, 708, 894, 516Calculator?

Out the numbers 477, 708, 894, 516 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.