GCD of 760, 159, 69, 123 Calculator

Given Input numbers are 760, 159, 69, 123

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

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 760, 159, 69, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 159, 69, 123 is 1.

Therefore, GCD of numbers 760, 159, 69, 123 is 1

Given Input Data is 760, 159, 69, 123

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

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 159 is 3 x 53

Prime Factorization of 69 is 3 x 23

Prime Factorization of 123 is 3 x 41

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(760, 159) = 120840

GCD(760, 159) = ( 760 x 159 ) / 120840

GCD(760, 159) = 120840 / 120840

GCD(760, 159) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 123

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

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

GCD(1, 123) = 123 / 123

GCD(1, 123) = 1

GCD of 760, 159, 69, 123 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 368, 755, 80, 549
• GCD of 139, 235, 77, 329
• GCD of 860, 671, 47, 755
• GCD of 588, 774, 89, 719
• GCD of 242, 295, 35, 184

1. What is the GCD of 760, 159, 69, 123?

GCD of 760, 159, 69, 123 is 1

2. Where do I get the detailed procedure to find GCD of 760, 159, 69, 123?

You can find a detailed procedure to find GCD of 760, 159, 69, 123 on our page.

3. How to find GCD of 760, 159, 69, 123 on a calculator?

You can find the GCD of 760, 159, 69, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.