GCD of 308, 832, 157, 965 Calculator

Given Input numbers are 308, 832, 157, 965

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

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 157

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

1, 157

Divisors of 965

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

1, 5, 193, 965

Greatest Common Divisior

We found the divisors of 308, 832, 157, 965 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 832, 157, 965 is 1.

Therefore, GCD of numbers 308, 832, 157, 965 is 1

Given Input Data is 308, 832, 157, 965

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

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 157 is 157

Prime Factorization of 965 is 5 x 193

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(308, 832) = 64064

GCD(308, 832) = ( 308 x 832 ) / 64064

GCD(308, 832) = 256256 / 64064

GCD(308, 832) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 157

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

LCM(4, 157) = 628

GCD(4, 157) = ( 4 x 157 ) / 628

GCD(4, 157) = 628 / 628

GCD(4, 157) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 965

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

LCM(1, 965) = 965

GCD(1, 965) = ( 1 x 965 ) / 965

GCD(1, 965) = 965 / 965

GCD(1, 965) = 1

GCD of 308, 832, 157, 965 is 1

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1. What is the GCD of 308, 832, 157, 965?

GCD of 308, 832, 157, 965 is 1

2. Where do I get the detailed procedure to find GCD of 308, 832, 157, 965?

You can find a detailed procedure to find GCD of 308, 832, 157, 965 on our page.

3. How to find GCD of 308, 832, 157, 965 on a calculator?

You can find the GCD of 308, 832, 157, 965 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.