GCD of 342, 180, 70, 551 Calculator

Given Input numbers are 342, 180, 70, 551

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

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 551

List of positive integer divisors of 551 that divides 551 without a remainder.

1, 19, 29, 551

Greatest Common Divisior

We found the divisors of 342, 180, 70, 551 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 180, 70, 551 is 1.

Therefore, GCD of numbers 342, 180, 70, 551 is 1

Given Input Data is 342, 180, 70, 551

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

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 551 is 19 x 29

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(342, 180) = 3420

GCD(342, 180) = ( 342 x 180 ) / 3420

GCD(342, 180) = 61560 / 3420

GCD(342, 180) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 70

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

LCM(18, 70) = 630

GCD(18, 70) = ( 18 x 70 ) / 630

GCD(18, 70) = 1260 / 630

GCD(18, 70) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 551

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

LCM(2, 551) = 1102

GCD(2, 551) = ( 2 x 551 ) / 1102

GCD(2, 551) = 1102 / 1102

GCD(2, 551) = 1

GCD of 342, 180, 70, 551 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 962, 248, 36, 895
• GCD of 658, 838, 11, 378
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• GCD of 490, 102, 45, 200
• GCD of 254, 792, 71, 132

1. What is the GCD of 342, 180, 70, 551?

GCD of 342, 180, 70, 551 is 1

2. Where do I get the detailed procedure to find GCD of 342, 180, 70, 551?

You can find a detailed procedure to find GCD of 342, 180, 70, 551 on our page.

3. How to find GCD of 342, 180, 70, 551 on a calculator?

You can find the GCD of 342, 180, 70, 551 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.