GCD of 870, 370, 385, 754 Calculator

Given Input numbers are 870, 370, 385, 754

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

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 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Greatest Common Divisior

We found the divisors of 870, 370, 385, 754 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 370, 385, 754 is 1.

Therefore, GCD of numbers 870, 370, 385, 754 is 1

Given Input Data is 870, 370, 385, 754

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

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

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 385 is 5 x 7 x 11

Prime Factorization of 754 is 2 x 13 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(870, 370) = 32190

GCD(870, 370) = ( 870 x 370 ) / 32190

GCD(870, 370) = 321900 / 32190

GCD(870, 370) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 385

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

LCM(10, 385) = 770

GCD(10, 385) = ( 10 x 385 ) / 770

GCD(10, 385) = 3850 / 770

GCD(10, 385) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 754

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

LCM(5, 754) = 3770

GCD(5, 754) = ( 5 x 754 ) / 3770

GCD(5, 754) = 3770 / 3770

GCD(5, 754) = 1

GCD of 870, 370, 385, 754 is 1

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1. What is the GCD of 870, 370, 385, 754?

GCD of 870, 370, 385, 754 is 1

2. Where do I get the detailed procedure to find GCD of 870, 370, 385, 754?

You can find a detailed procedure to find GCD of 870, 370, 385, 754 on our page.

3. How to find GCD of 870, 370, 385, 754 on a calculator?

You can find the GCD of 870, 370, 385, 754 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.