GCD of 477, 693, 84, 519 Calculator

Given Input numbers are 477, 693, 84, 519

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 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 84 :

The positive integer divisors of 84 that completely divides 84 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 519 :

The positive integer divisors of 519 that completely divides 519 are.

1, 3, 173, 519

GCD of numbers is the greatest common divisor

So, the GCD (477, 693, 84, 519) = 3.

Given numbers are 477, 693, 84, 519

The list of prime factors of all numbers are

Prime factors of 477 are 3 x 3 x 53

Prime factors of 693 are 3 x 3 x 7 x 11

Prime factors of 84 are 2 x 2 x 3 x 7

Prime factors of 519 are 3 x 173

The highest common occurrence is 3¹

Therefore, GCD of 477, 693, 84, 519 is 3.

Given numbers are 477, 693, 84, 519

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

Apply this formula for all numbers.

Step1:

LCM(477, 693) = 36729

GCD(477, 693) = ( 477 x 693 ) / 36729

= 477 / 693

= 477

Step2:

LCM(9, 84) = 252

GCD(9, 84) = ( 9 x 84 ) / 252

= 9 / 84

= 9

Step3:

LCM(3, 519) = 519

GCD(3, 519) = ( 3 x 519 ) / 519

= 3 / 519

= 3

So, Greatest Common Divisor of 477, 693, 84, 519 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 946, 398, 42, 521
• GCD of 305, 811, 77, 141
• GCD of 320, 694, 66, 489
• GCD of 221, 110, 42, 114
• GCD of 151, 730, 32, 766

Given numbers are 477, 693, 84, 519
The greatest common divisor of numbers 477, 693, 84, 519 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 477, 693, 84, 519 is 3.

1. What is the GCD of 477, 693, 84, 519?

GCD of given numbers 477, 693, 84, 519 is 3

2. How to calculate the greatest common divisor of 477, 693, 84, 519?

We can find the highest common divisor of 477, 693, 84, 519 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, 693, 84, 519 i.e 3.

3. How can I use the GCD of 477, 693, 84, 519Calculator?

Out the numbers 477, 693, 84, 519 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.