GCD of 557, 945, 14, 708 Calculator

Given Input numbers are 557, 945, 14, 708

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

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Greatest Common Divisior

We found the divisors of 557, 945, 14, 708 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 557, 945, 14, 708 is 1.

Therefore, GCD of numbers 557, 945, 14, 708 is 1

Given Input Data is 557, 945, 14, 708

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

Prime Factorization of 557 is 557

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 14 is 2 x 7

Prime Factorization of 708 is 2 x 2 x 3 x 59

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(557, 945) = 526365

GCD(557, 945) = ( 557 x 945 ) / 526365

GCD(557, 945) = 526365 / 526365

GCD(557, 945) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 708

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

LCM(1, 708) = 708

GCD(1, 708) = ( 1 x 708 ) / 708

GCD(1, 708) = 708 / 708

GCD(1, 708) = 1

GCD of 557, 945, 14, 708 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 704, 291, 96, 236
• GCD of 469, 621, 14, 645
• GCD of 206, 739, 56, 502
• GCD of 659, 487, 17, 955
• GCD of 312, 849, 10, 776

1. What is the GCD of 557, 945, 14, 708?

GCD of 557, 945, 14, 708 is 1

2. Where do I get the detailed procedure to find GCD of 557, 945, 14, 708?

You can find a detailed procedure to find GCD of 557, 945, 14, 708 on our page.

3. How to find GCD of 557, 945, 14, 708 on a calculator?

You can find the GCD of 557, 945, 14, 708 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.