GCD of 625, 705, 76, 989 Calculator

Given Input numbers are 625, 705, 76, 989

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 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Greatest Common Divisior

We found the divisors of 625, 705, 76, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 625, 705, 76, 989 is 1.

Therefore, GCD of numbers 625, 705, 76, 989 is 1

Given Input Data is 625, 705, 76, 989

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 705 is 3 x 5 x 47

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 989 is 23 x 43

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, 705) = 88125

GCD(625, 705) = ( 625 x 705 ) / 88125

GCD(625, 705) = 440625 / 88125

GCD(625, 705) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 76

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

LCM(5, 76) = 380

GCD(5, 76) = ( 5 x 76 ) / 380

GCD(5, 76) = 380 / 380

GCD(5, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 989

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

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

GCD(1, 989) = 989 / 989

GCD(1, 989) = 1

GCD of 625, 705, 76, 989 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 472, 849, 41, 857
• GCD of 834, 883, 13, 899
• GCD of 120, 878, 95, 257
• GCD of 793, 628, 47, 999
• GCD of 269, 199, 69, 247

1. What is the GCD of 625, 705, 76, 989?

GCD of 625, 705, 76, 989 is 1

2. Where do I get the detailed procedure to find GCD of 625, 705, 76, 989?

You can find a detailed procedure to find GCD of 625, 705, 76, 989 on our page.

3. How to find GCD of 625, 705, 76, 989 on a calculator?

You can find the GCD of 625, 705, 76, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.