GCD of 376, 152, 59, 106 Calculator

Given Input numbers are 376, 152, 59, 106

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

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 152

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

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

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 376, 152, 59, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 376, 152, 59, 106 is 1.

Therefore, GCD of numbers 376, 152, 59, 106 is 1

Given Input Data is 376, 152, 59, 106

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

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

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

Prime Factorization of 59 is 59

Prime Factorization of 106 is 2 x 53

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(376, 152) = 7144

GCD(376, 152) = ( 376 x 152 ) / 7144

GCD(376, 152) = 57152 / 7144

GCD(376, 152) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 59

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

LCM(8, 59) = 472

GCD(8, 59) = ( 8 x 59 ) / 472

GCD(8, 59) = 472 / 472

GCD(8, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

GCD of 376, 152, 59, 106 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 204, 114, 48, 269
• GCD of 439, 539, 14, 692
• GCD of 617, 678, 32, 875
• GCD of 491, 840, 66, 310
• GCD of 778, 198, 27, 671

1. What is the GCD of 376, 152, 59, 106?

GCD of 376, 152, 59, 106 is 1

2. Where do I get the detailed procedure to find GCD of 376, 152, 59, 106?

You can find a detailed procedure to find GCD of 376, 152, 59, 106 on our page.

3. How to find GCD of 376, 152, 59, 106 on a calculator?

You can find the GCD of 376, 152, 59, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.