GCD of 746, 858, 54, 225 Calculator

Given Input numbers are 746, 858, 54, 225

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

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Greatest Common Divisior

We found the divisors of 746, 858, 54, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 746, 858, 54, 225 is 1.

Therefore, GCD of numbers 746, 858, 54, 225 is 1

Given Input Data is 746, 858, 54, 225

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

Prime Factorization of 746 is 2 x 373

Prime Factorization of 858 is 2 x 3 x 11 x 13

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 225 is 3 x 3 x 5 x 5

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(746, 858) = 320034

GCD(746, 858) = ( 746 x 858 ) / 320034

GCD(746, 858) = 640068 / 320034

GCD(746, 858) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 54

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

LCM(2, 54) = 54

GCD(2, 54) = ( 2 x 54 ) / 54

GCD(2, 54) = 108 / 54

GCD(2, 54) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 225

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

LCM(2, 225) = 450

GCD(2, 225) = ( 2 x 225 ) / 450

GCD(2, 225) = 450 / 450

GCD(2, 225) = 1

GCD of 746, 858, 54, 225 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 535, 249, 25, 876
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• GCD of 445, 540, 57, 906
• GCD of 290, 694, 54, 110
• GCD of 382, 943, 36, 643

1. What is the GCD of 746, 858, 54, 225?

GCD of 746, 858, 54, 225 is 1

2. Where do I get the detailed procedure to find GCD of 746, 858, 54, 225?

You can find a detailed procedure to find GCD of 746, 858, 54, 225 on our page.

3. How to find GCD of 746, 858, 54, 225 on a calculator?

You can find the GCD of 746, 858, 54, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.