GCD of 252, 315, 77, 543 Calculator

Given Input numbers are 252, 315, 77, 543

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 543

List of positive integer divisors of 543 that divides 543 without a remainder.

1, 3, 181, 543

Greatest Common Divisior

We found the divisors of 252, 315, 77, 543 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 315, 77, 543 is 1.

Therefore, GCD of numbers 252, 315, 77, 543 is 1

Given Input Data is 252, 315, 77, 543

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 77 is 7 x 11

Prime Factorization of 543 is 3 x 181

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(252, 315) = 1260

GCD(252, 315) = ( 252 x 315 ) / 1260

GCD(252, 315) = 79380 / 1260

GCD(252, 315) = 63

Step2:

Here we consider the GCD from the above i.e. 63 as first number and the next as 77

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

LCM(63, 77) = 693

GCD(63, 77) = ( 63 x 77 ) / 693

GCD(63, 77) = 4851 / 693

GCD(63, 77) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 543

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

LCM(7, 543) = 3801

GCD(7, 543) = ( 7 x 543 ) / 3801

GCD(7, 543) = 3801 / 3801

GCD(7, 543) = 1

GCD of 252, 315, 77, 543 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 441, 183, 47, 459
• GCD of 652, 262, 37, 596
• GCD of 657, 253, 51, 280
• GCD of 110, 206, 61, 552
• GCD of 843, 383, 52, 750

1. What is the GCD of 252, 315, 77, 543?

GCD of 252, 315, 77, 543 is 1

2. Where do I get the detailed procedure to find GCD of 252, 315, 77, 543?

You can find a detailed procedure to find GCD of 252, 315, 77, 543 on our page.

3. How to find GCD of 252, 315, 77, 543 on a calculator?

You can find the GCD of 252, 315, 77, 543 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.