GCD of 148, 862, 561, 428 Calculator

Given Input numbers are 148, 862, 561, 428

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

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Greatest Common Divisior

We found the divisors of 148, 862, 561, 428 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 862, 561, 428 is 1.

Therefore, GCD of numbers 148, 862, 561, 428 is 1

Given Input Data is 148, 862, 561, 428

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

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 862 is 2 x 431

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 428 is 2 x 2 x 107

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(148, 862) = 63788

GCD(148, 862) = ( 148 x 862 ) / 63788

GCD(148, 862) = 127576 / 63788

GCD(148, 862) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 561

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

LCM(2, 561) = 1122

GCD(2, 561) = ( 2 x 561 ) / 1122

GCD(2, 561) = 1122 / 1122

GCD(2, 561) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 428

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

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

GCD(1, 428) = 428 / 428

GCD(1, 428) = 1

GCD of 148, 862, 561, 428 is 1

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1. What is the GCD of 148, 862, 561, 428?

GCD of 148, 862, 561, 428 is 1

2. Where do I get the detailed procedure to find GCD of 148, 862, 561, 428?

You can find a detailed procedure to find GCD of 148, 862, 561, 428 on our page.

3. How to find GCD of 148, 862, 561, 428 on a calculator?

You can find the GCD of 148, 862, 561, 428 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.