GCD of 90, 140, 824, 607 Calculator

Given Input numbers are 90, 140, 824, 607

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

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 607

List of positive integer divisors of 607 that divides 607 without a remainder.

1, 607

Greatest Common Divisior

We found the divisors of 90, 140, 824, 607 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 140, 824, 607 is 1.

Therefore, GCD of numbers 90, 140, 824, 607 is 1

Given Input Data is 90, 140, 824, 607

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

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 607 is 607

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(90, 140) = 1260

GCD(90, 140) = ( 90 x 140 ) / 1260

GCD(90, 140) = 12600 / 1260

GCD(90, 140) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 824

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

LCM(10, 824) = 4120

GCD(10, 824) = ( 10 x 824 ) / 4120

GCD(10, 824) = 8240 / 4120

GCD(10, 824) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 607

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

LCM(2, 607) = 1214

GCD(2, 607) = ( 2 x 607 ) / 1214

GCD(2, 607) = 1214 / 1214

GCD(2, 607) = 1

GCD of 90, 140, 824, 607 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 84, 958, 139, 980
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• GCD of 95, 767, 410, 973

1. What is the GCD of 90, 140, 824, 607?

GCD of 90, 140, 824, 607 is 1

2. Where do I get the detailed procedure to find GCD of 90, 140, 824, 607?

You can find a detailed procedure to find GCD of 90, 140, 824, 607 on our page.

3. How to find GCD of 90, 140, 824, 607 on a calculator?

You can find the GCD of 90, 140, 824, 607 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.