GCD of 742, 659, 235, 870 Calculator

Given Input numbers are 742, 659, 235, 870

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

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

Greatest Common Divisior

We found the divisors of 742, 659, 235, 870 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 659, 235, 870 is 1.

Therefore, GCD of numbers 742, 659, 235, 870 is 1

Given Input Data is 742, 659, 235, 870

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 659 is 659

Prime Factorization of 235 is 5 x 47

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

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(742, 659) = 488978

GCD(742, 659) = ( 742 x 659 ) / 488978

GCD(742, 659) = 488978 / 488978

GCD(742, 659) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 235

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

LCM(1, 235) = 235

GCD(1, 235) = ( 1 x 235 ) / 235

GCD(1, 235) = 235 / 235

GCD(1, 235) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 870

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

LCM(1, 870) = 870

GCD(1, 870) = ( 1 x 870 ) / 870

GCD(1, 870) = 870 / 870

GCD(1, 870) = 1

GCD of 742, 659, 235, 870 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 210, 935, 135, 787
• GCD of 800, 460, 348, 982
• GCD of 665, 915, 959, 137
• GCD of 751, 680, 240, 841
• GCD of 625, 683, 846, 575

1. What is the GCD of 742, 659, 235, 870?

GCD of 742, 659, 235, 870 is 1

2. Where do I get the detailed procedure to find GCD of 742, 659, 235, 870?

You can find a detailed procedure to find GCD of 742, 659, 235, 870 on our page.

3. How to find GCD of 742, 659, 235, 870 on a calculator?

You can find the GCD of 742, 659, 235, 870 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.