GCD of 474, 208, 478, 525 Calculator

Given Input numbers are 474, 208, 478, 525

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

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Greatest Common Divisior

We found the divisors of 474, 208, 478, 525 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 208, 478, 525 is 1.

Therefore, GCD of numbers 474, 208, 478, 525 is 1

Given Input Data is 474, 208, 478, 525

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

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 478 is 2 x 239

Prime Factorization of 525 is 3 x 5 x 5 x 7

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(474, 208) = 49296

GCD(474, 208) = ( 474 x 208 ) / 49296

GCD(474, 208) = 98592 / 49296

GCD(474, 208) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 478

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

LCM(2, 478) = 478

GCD(2, 478) = ( 2 x 478 ) / 478

GCD(2, 478) = 956 / 478

GCD(2, 478) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 525

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

LCM(2, 525) = 1050

GCD(2, 525) = ( 2 x 525 ) / 1050

GCD(2, 525) = 1050 / 1050

GCD(2, 525) = 1

GCD of 474, 208, 478, 525 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 985, 954, 474, 401
• GCD of 487, 563, 719, 347
• GCD of 623, 526, 339, 248
• GCD of 814, 938, 891, 216
• GCD of 959, 359, 371, 890

1. What is the GCD of 474, 208, 478, 525?

GCD of 474, 208, 478, 525 is 1

2. Where do I get the detailed procedure to find GCD of 474, 208, 478, 525?

You can find a detailed procedure to find GCD of 474, 208, 478, 525 on our page.

3. How to find GCD of 474, 208, 478, 525 on a calculator?

You can find the GCD of 474, 208, 478, 525 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.