GCD of 564, 690, 743, 612 Calculator

Given Input numbers are 564, 690, 743, 612

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

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Greatest Common Divisior

We found the divisors of 564, 690, 743, 612 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 690, 743, 612 is 1.

Therefore, GCD of numbers 564, 690, 743, 612 is 1

Given Input Data is 564, 690, 743, 612

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

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 743 is 743

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

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(564, 690) = 64860

GCD(564, 690) = ( 564 x 690 ) / 64860

GCD(564, 690) = 389160 / 64860

GCD(564, 690) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 743

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

LCM(6, 743) = 4458

GCD(6, 743) = ( 6 x 743 ) / 4458

GCD(6, 743) = 4458 / 4458

GCD(6, 743) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 612

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

LCM(1, 612) = 612

GCD(1, 612) = ( 1 x 612 ) / 612

GCD(1, 612) = 612 / 612

GCD(1, 612) = 1

GCD of 564, 690, 743, 612 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 292, 469, 513, 476
• GCD of 382, 541, 163, 560
• GCD of 742, 435, 254, 223
• GCD of 157, 699, 321, 229
• GCD of 614, 339, 958, 436

1. What is the GCD of 564, 690, 743, 612?

GCD of 564, 690, 743, 612 is 1

2. Where do I get the detailed procedure to find GCD of 564, 690, 743, 612?

You can find a detailed procedure to find GCD of 564, 690, 743, 612 on our page.

3. How to find GCD of 564, 690, 743, 612 on a calculator?

You can find the GCD of 564, 690, 743, 612 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.