GCD of 70, 740, 899, 518 Calculator

Given Input numbers are 70, 740, 899, 518

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

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Greatest Common Divisior

We found the divisors of 70, 740, 899, 518 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 740, 899, 518 is 1.

Therefore, GCD of numbers 70, 740, 899, 518 is 1

Given Input Data is 70, 740, 899, 518

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

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 899 is 29 x 31

Prime Factorization of 518 is 2 x 7 x 37

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(70, 740) = 5180

GCD(70, 740) = ( 70 x 740 ) / 5180

GCD(70, 740) = 51800 / 5180

GCD(70, 740) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 899

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

LCM(10, 899) = 8990

GCD(10, 899) = ( 10 x 899 ) / 8990

GCD(10, 899) = 8990 / 8990

GCD(10, 899) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 518

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

LCM(1, 518) = 518

GCD(1, 518) = ( 1 x 518 ) / 518

GCD(1, 518) = 518 / 518

GCD(1, 518) = 1

GCD of 70, 740, 899, 518 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 21, 147, 235, 668
• GCD of 24, 707, 405, 932
• GCD of 67, 249, 116, 874
• GCD of 68, 215, 660, 363
• GCD of 67, 257, 742, 865

1. What is the GCD of 70, 740, 899, 518?

GCD of 70, 740, 899, 518 is 1

2. Where do I get the detailed procedure to find GCD of 70, 740, 899, 518?

You can find a detailed procedure to find GCD of 70, 740, 899, 518 on our page.

3. How to find GCD of 70, 740, 899, 518 on a calculator?

You can find the GCD of 70, 740, 899, 518 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.