GCD of 450, 889, 56, 148 Calculator

Given Input numbers are 450, 889, 56, 148

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

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 148

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

1, 2, 4, 37, 74, 148

Greatest Common Divisior

We found the divisors of 450, 889, 56, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 889, 56, 148 is 1.

Therefore, GCD of numbers 450, 889, 56, 148 is 1

Given Input Data is 450, 889, 56, 148

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

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 889 is 7 x 127

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 148 is 2 x 2 x 37

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(450, 889) = 400050

GCD(450, 889) = ( 450 x 889 ) / 400050

GCD(450, 889) = 400050 / 400050

GCD(450, 889) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 56

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

LCM(1, 56) = 56

GCD(1, 56) = ( 1 x 56 ) / 56

GCD(1, 56) = 56 / 56

GCD(1, 56) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 148

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

LCM(1, 148) = 148

GCD(1, 148) = ( 1 x 148 ) / 148

GCD(1, 148) = 148 / 148

GCD(1, 148) = 1

GCD of 450, 889, 56, 148 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 331, 412, 12, 402
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• GCD of 877, 202, 27, 791
• GCD of 211, 676, 89, 735
• GCD of 771, 754, 22, 557

1. What is the GCD of 450, 889, 56, 148?

GCD of 450, 889, 56, 148 is 1

2. Where do I get the detailed procedure to find GCD of 450, 889, 56, 148?

You can find a detailed procedure to find GCD of 450, 889, 56, 148 on our page.

3. How to find GCD of 450, 889, 56, 148 on a calculator?

You can find the GCD of 450, 889, 56, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.