GCD of 770, 609, 57, 152 Calculator

Given Input numbers are 770, 609, 57, 152

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

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Greatest Common Divisior

We found the divisors of 770, 609, 57, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 609, 57, 152 is 1.

Therefore, GCD of numbers 770, 609, 57, 152 is 1

Given Input Data is 770, 609, 57, 152

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

Prime Factorization of 770 is 2 x 5 x 7 x 11

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 57 is 3 x 19

Prime Factorization of 152 is 2 x 2 x 2 x 19

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(770, 609) = 66990

GCD(770, 609) = ( 770 x 609 ) / 66990

GCD(770, 609) = 468930 / 66990

GCD(770, 609) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 57

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

LCM(7, 57) = 399

GCD(7, 57) = ( 7 x 57 ) / 399

GCD(7, 57) = 399 / 399

GCD(7, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 152

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

LCM(1, 152) = 152

GCD(1, 152) = ( 1 x 152 ) / 152

GCD(1, 152) = 152 / 152

GCD(1, 152) = 1

GCD of 770, 609, 57, 152 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 419, 526, 88, 863
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• GCD of 269, 897, 29, 422

1. What is the GCD of 770, 609, 57, 152?

GCD of 770, 609, 57, 152 is 1

2. Where do I get the detailed procedure to find GCD of 770, 609, 57, 152?

You can find a detailed procedure to find GCD of 770, 609, 57, 152 on our page.

3. How to find GCD of 770, 609, 57, 152 on a calculator?

You can find the GCD of 770, 609, 57, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.