GCD of 861, 840, 608, 145 Calculator

Given Input numbers are 861, 840, 608, 145

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

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Greatest Common Divisior

We found the divisors of 861, 840, 608, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 861, 840, 608, 145 is 1.

Therefore, GCD of numbers 861, 840, 608, 145 is 1

Given Input Data is 861, 840, 608, 145

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

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 145 is 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(861, 840) = 34440

GCD(861, 840) = ( 861 x 840 ) / 34440

GCD(861, 840) = 723240 / 34440

GCD(861, 840) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 608

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

LCM(21, 608) = 12768

GCD(21, 608) = ( 21 x 608 ) / 12768

GCD(21, 608) = 12768 / 12768

GCD(21, 608) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 145

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

LCM(1, 145) = 145

GCD(1, 145) = ( 1 x 145 ) / 145

GCD(1, 145) = 145 / 145

GCD(1, 145) = 1

GCD of 861, 840, 608, 145 is 1

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1. What is the GCD of 861, 840, 608, 145?

GCD of 861, 840, 608, 145 is 1

2. Where do I get the detailed procedure to find GCD of 861, 840, 608, 145?

You can find a detailed procedure to find GCD of 861, 840, 608, 145 on our page.

3. How to find GCD of 861, 840, 608, 145 on a calculator?

You can find the GCD of 861, 840, 608, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.