GCD of 202, 660, 769, 148 Calculator

Given Input numbers are 202, 660, 769, 148

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

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Divisors of 148

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

1, 2, 4, 37, 74, 148

Greatest Common Divisior

We found the divisors of 202, 660, 769, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 202, 660, 769, 148 is 1.

Therefore, GCD of numbers 202, 660, 769, 148 is 1

Given Input Data is 202, 660, 769, 148

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

Prime Factorization of 202 is 2 x 101

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 769 is 769

Prime Factorization of 148 is 2 x 2 x 37

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(202, 660) = 66660

GCD(202, 660) = ( 202 x 660 ) / 66660

GCD(202, 660) = 133320 / 66660

GCD(202, 660) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 769

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

LCM(2, 769) = 1538

GCD(2, 769) = ( 2 x 769 ) / 1538

GCD(2, 769) = 1538 / 1538

GCD(2, 769) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 148

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

LCM(1, 148) = 148

GCD(1, 148) = ( 1 x 148 ) / 148

GCD(1, 148) = 148 / 148

GCD(1, 148) = 1

GCD of 202, 660, 769, 148 is 1

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1. What is the GCD of 202, 660, 769, 148?

GCD of 202, 660, 769, 148 is 1

2. Where do I get the detailed procedure to find GCD of 202, 660, 769, 148?

You can find a detailed procedure to find GCD of 202, 660, 769, 148 on our page.

3. How to find GCD of 202, 660, 769, 148 on a calculator?

You can find the GCD of 202, 660, 769, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.