GCD of 360, 427, 350, 145 Calculator

Given Input numbers are 360, 427, 350, 145

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

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

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 360, 427, 350, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 427, 350, 145 is 1.

Therefore, GCD of numbers 360, 427, 350, 145 is 1

Given Input Data is 360, 427, 350, 145

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

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 427 is 7 x 61

Prime Factorization of 350 is 2 x 5 x 5 x 7

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(360, 427) = 153720

GCD(360, 427) = ( 360 x 427 ) / 153720

GCD(360, 427) = 153720 / 153720

GCD(360, 427) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 350

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

LCM(1, 350) = 350

GCD(1, 350) = ( 1 x 350 ) / 350

GCD(1, 350) = 350 / 350

GCD(1, 350) = 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 360, 427, 350, 145 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 148, 543, 803, 693
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• GCD of 120, 278, 756, 112

1. What is the GCD of 360, 427, 350, 145?

GCD of 360, 427, 350, 145 is 1

2. Where do I get the detailed procedure to find GCD of 360, 427, 350, 145?

You can find a detailed procedure to find GCD of 360, 427, 350, 145 on our page.

3. How to find GCD of 360, 427, 350, 145 on a calculator?

You can find the GCD of 360, 427, 350, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.