GCD of 708, 587, 66, 125 Calculator

Given Input numbers are 708, 587, 66, 125

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

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

Divisors of 587

List of positive integer divisors of 587 that divides 587 without a remainder.

1, 587

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Greatest Common Divisior

We found the divisors of 708, 587, 66, 125 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 587, 66, 125 is 1.

Therefore, GCD of numbers 708, 587, 66, 125 is 1

Given Input Data is 708, 587, 66, 125

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

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

Prime Factorization of 587 is 587

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 125 is 5 x 5 x 5

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(708, 587) = 415596

GCD(708, 587) = ( 708 x 587 ) / 415596

GCD(708, 587) = 415596 / 415596

GCD(708, 587) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 125

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

LCM(1, 125) = 125

GCD(1, 125) = ( 1 x 125 ) / 125

GCD(1, 125) = 125 / 125

GCD(1, 125) = 1

GCD of 708, 587, 66, 125 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 313, 293, 90, 566
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• GCD of 248, 295, 72, 932
• GCD of 850, 422, 47, 751
• GCD of 456, 598, 64, 406

1. What is the GCD of 708, 587, 66, 125?

GCD of 708, 587, 66, 125 is 1

2. Where do I get the detailed procedure to find GCD of 708, 587, 66, 125?

You can find a detailed procedure to find GCD of 708, 587, 66, 125 on our page.

3. How to find GCD of 708, 587, 66, 125 on a calculator?

You can find the GCD of 708, 587, 66, 125 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.