GCD of 364, 692, 592, 154 Calculator

Given Input numbers are 364, 692, 592, 154

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

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

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Greatest Common Divisior

We found the divisors of 364, 692, 592, 154 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 692, 592, 154 is 2.

Therefore, GCD of numbers 364, 692, 592, 154 is 2

Given Input Data is 364, 692, 592, 154

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

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

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

Prime Factorization of 154 is 2 x 7 x 11

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(364, 692) = 62972

GCD(364, 692) = ( 364 x 692 ) / 62972

GCD(364, 692) = 251888 / 62972

GCD(364, 692) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 592

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

LCM(4, 592) = 592

GCD(4, 592) = ( 4 x 592 ) / 592

GCD(4, 592) = 2368 / 592

GCD(4, 592) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 154

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

LCM(4, 154) = 308

GCD(4, 154) = ( 4 x 154 ) / 308

GCD(4, 154) = 616 / 308

GCD(4, 154) = 2

GCD of 364, 692, 592, 154 is 2

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1. What is the GCD of 364, 692, 592, 154?

GCD of 364, 692, 592, 154 is 2

2. Where do I get the detailed procedure to find GCD of 364, 692, 592, 154?

You can find a detailed procedure to find GCD of 364, 692, 592, 154 on our page.

3. How to find GCD of 364, 692, 592, 154 on a calculator?

You can find the GCD of 364, 692, 592, 154 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.