GCD of 965, 148, 90, 901 Calculator

Given Input numbers are 965, 148, 90, 901

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

Divisors of 965

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

1, 5, 193, 965

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Greatest Common Divisior

We found the divisors of 965, 148, 90, 901 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 965, 148, 90, 901 is 1.

Therefore, GCD of numbers 965, 148, 90, 901 is 1

Given Input Data is 965, 148, 90, 901

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

Prime Factorization of 965 is 5 x 193

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 901 is 17 x 53

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(965, 148) = 142820

GCD(965, 148) = ( 965 x 148 ) / 142820

GCD(965, 148) = 142820 / 142820

GCD(965, 148) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 901

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

LCM(1, 901) = 901

GCD(1, 901) = ( 1 x 901 ) / 901

GCD(1, 901) = 901 / 901

GCD(1, 901) = 1

GCD of 965, 148, 90, 901 is 1

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1. What is the GCD of 965, 148, 90, 901?

GCD of 965, 148, 90, 901 is 1

2. Where do I get the detailed procedure to find GCD of 965, 148, 90, 901?

You can find a detailed procedure to find GCD of 965, 148, 90, 901 on our page.

3. How to find GCD of 965, 148, 90, 901 on a calculator?

You can find the GCD of 965, 148, 90, 901 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.