GCD of 706, 954, 57, 452 Calculator

Given Input numbers are 706, 954, 57, 452

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 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Greatest Common Divisior

We found the divisors of 706, 954, 57, 452 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 954, 57, 452 is 1.

Therefore, GCD of numbers 706, 954, 57, 452 is 1

Given Input Data is 706, 954, 57, 452

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 57 is 3 x 19

Prime Factorization of 452 is 2 x 2 x 113

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, 954) = 336762

GCD(706, 954) = ( 706 x 954 ) / 336762

GCD(706, 954) = 673524 / 336762

GCD(706, 954) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 57

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

LCM(2, 57) = 114

GCD(2, 57) = ( 2 x 57 ) / 114

GCD(2, 57) = 114 / 114

GCD(2, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 452

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

LCM(1, 452) = 452

GCD(1, 452) = ( 1 x 452 ) / 452

GCD(1, 452) = 452 / 452

GCD(1, 452) = 1

GCD of 706, 954, 57, 452 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 427, 635, 88, 397
• GCD of 109, 886, 99, 219
• GCD of 447, 709, 12, 264
• GCD of 728, 972, 46, 412
• GCD of 192, 545, 20, 269

1. What is the GCD of 706, 954, 57, 452?

GCD of 706, 954, 57, 452 is 1

2. Where do I get the detailed procedure to find GCD of 706, 954, 57, 452?

You can find a detailed procedure to find GCD of 706, 954, 57, 452 on our page.

3. How to find GCD of 706, 954, 57, 452 on a calculator?

You can find the GCD of 706, 954, 57, 452 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.