GCD of 87, 553, 414, 354 Calculator

Given Input numbers are 87, 553, 414, 354

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

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Greatest Common Divisior

We found the divisors of 87, 553, 414, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 553, 414, 354 is 1.

Therefore, GCD of numbers 87, 553, 414, 354 is 1

Given Input Data is 87, 553, 414, 354

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

Prime Factorization of 87 is 3 x 29

Prime Factorization of 553 is 7 x 79

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 354 is 2 x 3 x 59

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(87, 553) = 48111

GCD(87, 553) = ( 87 x 553 ) / 48111

GCD(87, 553) = 48111 / 48111

GCD(87, 553) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 414

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

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

GCD(1, 414) = 414 / 414

GCD(1, 414) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 354

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

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

GCD(1, 354) = 354 / 354

GCD(1, 354) = 1

GCD of 87, 553, 414, 354 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 31, 387, 324, 150
• GCD of 55, 541, 600, 569
• GCD of 18, 431, 470, 165
• GCD of 21, 139, 807, 244
• GCD of 43, 338, 459, 165

1. What is the GCD of 87, 553, 414, 354?

GCD of 87, 553, 414, 354 is 1

2. Where do I get the detailed procedure to find GCD of 87, 553, 414, 354?

You can find a detailed procedure to find GCD of 87, 553, 414, 354 on our page.

3. How to find GCD of 87, 553, 414, 354 on a calculator?

You can find the GCD of 87, 553, 414, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.