GCD of 42, 759, 870, 220 Calculator

Given Input numbers are 42, 759, 870, 220

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

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Greatest Common Divisior

We found the divisors of 42, 759, 870, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 759, 870, 220 is 1.

Therefore, GCD of numbers 42, 759, 870, 220 is 1

Given Input Data is 42, 759, 870, 220

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 220 is 2 x 2 x 5 x 11

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(42, 759) = 10626

GCD(42, 759) = ( 42 x 759 ) / 10626

GCD(42, 759) = 31878 / 10626

GCD(42, 759) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 870

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

LCM(3, 870) = 870

GCD(3, 870) = ( 3 x 870 ) / 870

GCD(3, 870) = 2610 / 870

GCD(3, 870) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 220

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

LCM(3, 220) = 660

GCD(3, 220) = ( 3 x 220 ) / 660

GCD(3, 220) = 660 / 660

GCD(3, 220) = 1

GCD of 42, 759, 870, 220 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 74, 624, 726, 291
• GCD of 92, 986, 152, 447
• GCD of 28, 577, 701, 798
• GCD of 57, 850, 889, 382
• GCD of 40, 994, 496, 897

1. What is the GCD of 42, 759, 870, 220?

GCD of 42, 759, 870, 220 is 1

2. Where do I get the detailed procedure to find GCD of 42, 759, 870, 220?

You can find a detailed procedure to find GCD of 42, 759, 870, 220 on our page.

3. How to find GCD of 42, 759, 870, 220 on a calculator?

You can find the GCD of 42, 759, 870, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.