GCD of 870, 536, 892, 675 Calculator

Given Input numbers are 870, 536, 892, 675

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 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Greatest Common Divisior

We found the divisors of 870, 536, 892, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 536, 892, 675 is 1.

Therefore, GCD of numbers 870, 536, 892, 675 is 1

Given Input Data is 870, 536, 892, 675

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 536 is 2 x 2 x 2 x 67

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

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, 536) = 233160

GCD(870, 536) = ( 870 x 536 ) / 233160

GCD(870, 536) = 466320 / 233160

GCD(870, 536) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 892

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

LCM(2, 892) = 892

GCD(2, 892) = ( 2 x 892 ) / 892

GCD(2, 892) = 1784 / 892

GCD(2, 892) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 675

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

LCM(2, 675) = 1350

GCD(2, 675) = ( 2 x 675 ) / 1350

GCD(2, 675) = 1350 / 1350

GCD(2, 675) = 1

GCD of 870, 536, 892, 675 is 1

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1. What is the GCD of 870, 536, 892, 675?

GCD of 870, 536, 892, 675 is 1

2. Where do I get the detailed procedure to find GCD of 870, 536, 892, 675?

You can find a detailed procedure to find GCD of 870, 536, 892, 675 on our page.

3. How to find GCD of 870, 536, 892, 675 on a calculator?

You can find the GCD of 870, 536, 892, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.