GCD of 75, 965, 523, 157 Calculator

Given Input numbers are 75, 965, 523, 157

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

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Greatest Common Divisior

We found the divisors of 75, 965, 523, 157 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 965, 523, 157 is 1.

Therefore, GCD of numbers 75, 965, 523, 157 is 1

Given Input Data is 75, 965, 523, 157

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

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 965 is 5 x 193

Prime Factorization of 523 is 523

Prime Factorization of 157 is 157

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(75, 965) = 14475

GCD(75, 965) = ( 75 x 965 ) / 14475

GCD(75, 965) = 72375 / 14475

GCD(75, 965) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 523

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

LCM(5, 523) = 2615

GCD(5, 523) = ( 5 x 523 ) / 2615

GCD(5, 523) = 2615 / 2615

GCD(5, 523) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 157

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

LCM(1, 157) = 157

GCD(1, 157) = ( 1 x 157 ) / 157

GCD(1, 157) = 157 / 157

GCD(1, 157) = 1

GCD of 75, 965, 523, 157 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 53, 364, 925, 728
• GCD of 79, 348, 847, 347
• GCD of 20, 250, 786, 677
• GCD of 15, 684, 845, 914
• GCD of 79, 378, 652, 139

1. What is the GCD of 75, 965, 523, 157?

GCD of 75, 965, 523, 157 is 1

2. Where do I get the detailed procedure to find GCD of 75, 965, 523, 157?

You can find a detailed procedure to find GCD of 75, 965, 523, 157 on our page.

3. How to find GCD of 75, 965, 523, 157 on a calculator?

You can find the GCD of 75, 965, 523, 157 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.