GCD of 625, 125, 57, 697 Calculator

Given Input numbers are 625, 125, 57, 697

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

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 125

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

1, 5, 25, 125

Divisors of 57

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

1, 3, 19, 57

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Greatest Common Divisior

We found the divisors of 625, 125, 57, 697 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 625, 125, 57, 697 is 1.

Therefore, GCD of numbers 625, 125, 57, 697 is 1

Given Input Data is 625, 125, 57, 697

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

Prime Factorization of 625 is 5 x 5 x 5 x 5

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 57 is 3 x 19

Prime Factorization of 697 is 17 x 41

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(625, 125) = 625

GCD(625, 125) = ( 625 x 125 ) / 625

GCD(625, 125) = 78125 / 625

GCD(625, 125) = 125

Step2:

Here we consider the GCD from the above i.e. 125 as first number and the next as 57

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

LCM(125, 57) = 7125

GCD(125, 57) = ( 125 x 57 ) / 7125

GCD(125, 57) = 7125 / 7125

GCD(125, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 697

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

LCM(1, 697) = 697

GCD(1, 697) = ( 1 x 697 ) / 697

GCD(1, 697) = 697 / 697

GCD(1, 697) = 1

GCD of 625, 125, 57, 697 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 444, 979, 14, 488
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• GCD of 648, 907, 20, 462
• GCD of 972, 588, 67, 306
• GCD of 548, 847, 15, 999

1. What is the GCD of 625, 125, 57, 697?

GCD of 625, 125, 57, 697 is 1

2. Where do I get the detailed procedure to find GCD of 625, 125, 57, 697?

You can find a detailed procedure to find GCD of 625, 125, 57, 697 on our page.

3. How to find GCD of 625, 125, 57, 697 on a calculator?

You can find the GCD of 625, 125, 57, 697 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.