GCD of 148, 222, 686, 755 Calculator

Given Input numbers are 148, 222, 686, 755

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

Divisors of 148

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

1, 2, 4, 37, 74, 148

Divisors of 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Greatest Common Divisior

We found the divisors of 148, 222, 686, 755 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 222, 686, 755 is 1.

Therefore, GCD of numbers 148, 222, 686, 755 is 1

Given Input Data is 148, 222, 686, 755

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

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 222 is 2 x 3 x 37

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 755 is 5 x 151

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(148, 222) = 444

GCD(148, 222) = ( 148 x 222 ) / 444

GCD(148, 222) = 32856 / 444

GCD(148, 222) = 74

Step2:

Here we consider the GCD from the above i.e. 74 as first number and the next as 686

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

LCM(74, 686) = 25382

GCD(74, 686) = ( 74 x 686 ) / 25382

GCD(74, 686) = 50764 / 25382

GCD(74, 686) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 755

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

LCM(2, 755) = 1510

GCD(2, 755) = ( 2 x 755 ) / 1510

GCD(2, 755) = 1510 / 1510

GCD(2, 755) = 1

GCD of 148, 222, 686, 755 is 1

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1. What is the GCD of 148, 222, 686, 755?

GCD of 148, 222, 686, 755 is 1

2. Where do I get the detailed procedure to find GCD of 148, 222, 686, 755?

You can find a detailed procedure to find GCD of 148, 222, 686, 755 on our page.

3. How to find GCD of 148, 222, 686, 755 on a calculator?

You can find the GCD of 148, 222, 686, 755 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.