GCD of 92, 148, 346, 577 Calculator

Given Input numbers are 92, 148, 346, 577

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

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Greatest Common Divisior

We found the divisors of 92, 148, 346, 577 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 92, 148, 346, 577 is 1.

Therefore, GCD of numbers 92, 148, 346, 577 is 1

Given Input Data is 92, 148, 346, 577

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

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 346 is 2 x 173

Prime Factorization of 577 is 577

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(92, 148) = 3404

GCD(92, 148) = ( 92 x 148 ) / 3404

GCD(92, 148) = 13616 / 3404

GCD(92, 148) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 346

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

LCM(4, 346) = 692

GCD(4, 346) = ( 4 x 346 ) / 692

GCD(4, 346) = 1384 / 692

GCD(4, 346) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 577

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

LCM(2, 577) = 1154

GCD(2, 577) = ( 2 x 577 ) / 1154

GCD(2, 577) = 1154 / 1154

GCD(2, 577) = 1

GCD of 92, 148, 346, 577 is 1

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• GCD of 41, 686, 797, 762
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1. What is the GCD of 92, 148, 346, 577?

GCD of 92, 148, 346, 577 is 1

2. Where do I get the detailed procedure to find GCD of 92, 148, 346, 577?

You can find a detailed procedure to find GCD of 92, 148, 346, 577 on our page.

3. How to find GCD of 92, 148, 346, 577 on a calculator?

You can find the GCD of 92, 148, 346, 577 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.