GCD of 706, 126, 55, 624 Calculator

Given Input numbers are 706, 126, 55, 624

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

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Greatest Common Divisior

We found the divisors of 706, 126, 55, 624 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 126, 55, 624 is 1.

Therefore, GCD of numbers 706, 126, 55, 624 is 1

Given Input Data is 706, 126, 55, 624

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 55 is 5 x 11

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

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(706, 126) = 44478

GCD(706, 126) = ( 706 x 126 ) / 44478

GCD(706, 126) = 88956 / 44478

GCD(706, 126) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 55

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

LCM(2, 55) = 110

GCD(2, 55) = ( 2 x 55 ) / 110

GCD(2, 55) = 110 / 110

GCD(2, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 624

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

LCM(1, 624) = 624

GCD(1, 624) = ( 1 x 624 ) / 624

GCD(1, 624) = 624 / 624

GCD(1, 624) = 1

GCD of 706, 126, 55, 624 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 479, 784, 35, 661
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• GCD of 982, 969, 11, 542

1. What is the GCD of 706, 126, 55, 624?

GCD of 706, 126, 55, 624 is 1

2. Where do I get the detailed procedure to find GCD of 706, 126, 55, 624?

You can find a detailed procedure to find GCD of 706, 126, 55, 624 on our page.

3. How to find GCD of 706, 126, 55, 624 on a calculator?

You can find the GCD of 706, 126, 55, 624 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.