GCD of 60, 156, 238, 575 Calculator

Given Input numbers are 60, 156, 238, 575

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

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Greatest Common Divisior

We found the divisors of 60, 156, 238, 575 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 156, 238, 575 is 1.

Therefore, GCD of numbers 60, 156, 238, 575 is 1

Given Input Data is 60, 156, 238, 575

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

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 575 is 5 x 5 x 23

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(60, 156) = 780

GCD(60, 156) = ( 60 x 156 ) / 780

GCD(60, 156) = 9360 / 780

GCD(60, 156) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 238

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

LCM(12, 238) = 1428

GCD(12, 238) = ( 12 x 238 ) / 1428

GCD(12, 238) = 2856 / 1428

GCD(12, 238) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 575

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

LCM(2, 575) = 1150

GCD(2, 575) = ( 2 x 575 ) / 1150

GCD(2, 575) = 1150 / 1150

GCD(2, 575) = 1

GCD of 60, 156, 238, 575 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 31, 484, 860, 554
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• GCD of 66, 804, 680, 559
• GCD of 42, 633, 148, 125
• GCD of 67, 712, 133, 795

1. What is the GCD of 60, 156, 238, 575?

GCD of 60, 156, 238, 575 is 1

2. Where do I get the detailed procedure to find GCD of 60, 156, 238, 575?

You can find a detailed procedure to find GCD of 60, 156, 238, 575 on our page.

3. How to find GCD of 60, 156, 238, 575 on a calculator?

You can find the GCD of 60, 156, 238, 575 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.