GCD of 388, 554, 70, 364 Calculator

Given Input numbers are 388, 554, 70, 364

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

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

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 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 388, 554, 70, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 388, 554, 70, 364 is 2.

Therefore, GCD of numbers 388, 554, 70, 364 is 2

Given Input Data is 388, 554, 70, 364

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

Prime Factorization of 388 is 2 x 2 x 97

Prime Factorization of 554 is 2 x 277

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 364 is 2 x 2 x 7 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(388, 554) = 107476

GCD(388, 554) = ( 388 x 554 ) / 107476

GCD(388, 554) = 214952 / 107476

GCD(388, 554) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 70

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

LCM(2, 70) = 70

GCD(2, 70) = ( 2 x 70 ) / 70

GCD(2, 70) = 140 / 70

GCD(2, 70) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 364

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

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

GCD(2, 364) = 728 / 364

GCD(2, 364) = 2

GCD of 388, 554, 70, 364 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 810, 934, 59, 834
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• GCD of 797, 448, 17, 747
• GCD of 299, 136, 33, 182
• GCD of 683, 356, 53, 596

1. What is the GCD of 388, 554, 70, 364?

GCD of 388, 554, 70, 364 is 2

2. Where do I get the detailed procedure to find GCD of 388, 554, 70, 364?

You can find a detailed procedure to find GCD of 388, 554, 70, 364 on our page.

3. How to find GCD of 388, 554, 70, 364 on a calculator?

You can find the GCD of 388, 554, 70, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.