GCD of 69, 920, 519, 670 Calculator

Given Input numbers are 69, 920, 519, 670

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

Divisors of 69

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

1, 3, 23, 69

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 519

List of positive integer divisors of 519 that divides 519 without a remainder.

1, 3, 173, 519

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Greatest Common Divisior

We found the divisors of 69, 920, 519, 670 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 920, 519, 670 is 1.

Therefore, GCD of numbers 69, 920, 519, 670 is 1

Given Input Data is 69, 920, 519, 670

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

Prime Factorization of 69 is 3 x 23

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 519 is 3 x 173

Prime Factorization of 670 is 2 x 5 x 67

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(69, 920) = 2760

GCD(69, 920) = ( 69 x 920 ) / 2760

GCD(69, 920) = 63480 / 2760

GCD(69, 920) = 23

Step2:

Here we consider the GCD from the above i.e. 23 as first number and the next as 519

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

LCM(23, 519) = 11937

GCD(23, 519) = ( 23 x 519 ) / 11937

GCD(23, 519) = 11937 / 11937

GCD(23, 519) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 670

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

LCM(1, 670) = 670

GCD(1, 670) = ( 1 x 670 ) / 670

GCD(1, 670) = 670 / 670

GCD(1, 670) = 1

GCD of 69, 920, 519, 670 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 31, 886, 711, 659
• GCD of 83, 303, 616, 236
• GCD of 59, 153, 240, 782
• GCD of 83, 573, 117, 584
• GCD of 30, 931, 899, 271

1. What is the GCD of 69, 920, 519, 670?

GCD of 69, 920, 519, 670 is 1

2. Where do I get the detailed procedure to find GCD of 69, 920, 519, 670?

You can find a detailed procedure to find GCD of 69, 920, 519, 670 on our page.

3. How to find GCD of 69, 920, 519, 670 on a calculator?

You can find the GCD of 69, 920, 519, 670 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.