GCD of 814, 840, 552, 145 Calculator

Given Input numbers are 814, 840, 552, 145

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

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

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 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

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 814, 840, 552, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 840, 552, 145 is 1.

Therefore, GCD of numbers 814, 840, 552, 145 is 1

Given Input Data is 814, 840, 552, 145

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

Prime Factorization of 814 is 2 x 11 x 37

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

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

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(814, 840) = 341880

GCD(814, 840) = ( 814 x 840 ) / 341880

GCD(814, 840) = 683760 / 341880

GCD(814, 840) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 552

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

LCM(2, 552) = 552

GCD(2, 552) = ( 2 x 552 ) / 552

GCD(2, 552) = 1104 / 552

GCD(2, 552) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 145

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

LCM(2, 145) = 290

GCD(2, 145) = ( 2 x 145 ) / 290

GCD(2, 145) = 290 / 290

GCD(2, 145) = 1

GCD of 814, 840, 552, 145 is 1

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1. What is the GCD of 814, 840, 552, 145?

GCD of 814, 840, 552, 145 is 1

2. Where do I get the detailed procedure to find GCD of 814, 840, 552, 145?

You can find a detailed procedure to find GCD of 814, 840, 552, 145 on our page.

3. How to find GCD of 814, 840, 552, 145 on a calculator?

You can find the GCD of 814, 840, 552, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.