GCD of 680, 376, 41, 152 Calculator

Given Input numbers are 680, 376, 41, 152

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

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

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 680, 376, 41, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 376, 41, 152 is 1.

Therefore, GCD of numbers 680, 376, 41, 152 is 1

Given Input Data is 680, 376, 41, 152

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

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 41 is 41

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(680, 376) = 31960

GCD(680, 376) = ( 680 x 376 ) / 31960

GCD(680, 376) = 255680 / 31960

GCD(680, 376) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 41

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

LCM(8, 41) = 328

GCD(8, 41) = ( 8 x 41 ) / 328

GCD(8, 41) = 328 / 328

GCD(8, 41) = 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 680, 376, 41, 152 is 1

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1. What is the GCD of 680, 376, 41, 152?

GCD of 680, 376, 41, 152 is 1

2. Where do I get the detailed procedure to find GCD of 680, 376, 41, 152?

You can find a detailed procedure to find GCD of 680, 376, 41, 152 on our page.

3. How to find GCD of 680, 376, 41, 152 on a calculator?

You can find the GCD of 680, 376, 41, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.