GCD of 305, 677, 61, 952 Calculator

Given Input numbers are 305, 677, 61, 952

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

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Greatest Common Divisior

We found the divisors of 305, 677, 61, 952 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 305, 677, 61, 952 is 1.

Therefore, GCD of numbers 305, 677, 61, 952 is 1

Given Input Data is 305, 677, 61, 952

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

Prime Factorization of 305 is 5 x 61

Prime Factorization of 677 is 677

Prime Factorization of 61 is 61

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

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(305, 677) = 206485

GCD(305, 677) = ( 305 x 677 ) / 206485

GCD(305, 677) = 206485 / 206485

GCD(305, 677) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 61

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

LCM(1, 61) = 61

GCD(1, 61) = ( 1 x 61 ) / 61

GCD(1, 61) = 61 / 61

GCD(1, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 952

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

LCM(1, 952) = 952

GCD(1, 952) = ( 1 x 952 ) / 952

GCD(1, 952) = 952 / 952

GCD(1, 952) = 1

GCD of 305, 677, 61, 952 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 887, 425, 11, 168
• GCD of 959, 152, 82, 645
• GCD of 575, 629, 83, 558
• GCD of 773, 674, 19, 355
• GCD of 927, 751, 45, 664

1. What is the GCD of 305, 677, 61, 952?

GCD of 305, 677, 61, 952 is 1

2. Where do I get the detailed procedure to find GCD of 305, 677, 61, 952?

You can find a detailed procedure to find GCD of 305, 677, 61, 952 on our page.

3. How to find GCD of 305, 677, 61, 952 on a calculator?

You can find the GCD of 305, 677, 61, 952 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.