GCD of 625, 986, 61, 766 Calculator

Given Input numbers are 625, 986, 61, 766

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 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Greatest Common Divisior

We found the divisors of 625, 986, 61, 766 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 625, 986, 61, 766 is 1.

Therefore, GCD of numbers 625, 986, 61, 766 is 1

Given Input Data is 625, 986, 61, 766

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 986 is 2 x 17 x 29

Prime Factorization of 61 is 61

Prime Factorization of 766 is 2 x 383

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, 986) = 616250

GCD(625, 986) = ( 625 x 986 ) / 616250

GCD(625, 986) = 616250 / 616250

GCD(625, 986) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 61

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

LCM(1, 61) = 61

GCD(1, 61) = ( 1 x 61 ) / 61

GCD(1, 61) = 61 / 61

GCD(1, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 766

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

LCM(1, 766) = 766

GCD(1, 766) = ( 1 x 766 ) / 766

GCD(1, 766) = 766 / 766

GCD(1, 766) = 1

GCD of 625, 986, 61, 766 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 675, 372, 75, 619
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• GCD of 245, 302, 98, 474
• GCD of 308, 967, 60, 616
• GCD of 348, 315, 19, 306

1. What is the GCD of 625, 986, 61, 766?

GCD of 625, 986, 61, 766 is 1

2. Where do I get the detailed procedure to find GCD of 625, 986, 61, 766?

You can find a detailed procedure to find GCD of 625, 986, 61, 766 on our page.

3. How to find GCD of 625, 986, 61, 766 on a calculator?

You can find the GCD of 625, 986, 61, 766 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.