GCD of 148, 562, 907, 988 Calculator

Given Input numbers are 148, 562, 907, 988

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 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Divisors of 907

List of positive integer divisors of 907 that divides 907 without a remainder.

1, 907

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Greatest Common Divisior

We found the divisors of 148, 562, 907, 988 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 562, 907, 988 is 1.

Therefore, GCD of numbers 148, 562, 907, 988 is 1

Given Input Data is 148, 562, 907, 988

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 562 is 2 x 281

Prime Factorization of 907 is 907

Prime Factorization of 988 is 2 x 2 x 13 x 19

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, 562) = 41588

GCD(148, 562) = ( 148 x 562 ) / 41588

GCD(148, 562) = 83176 / 41588

GCD(148, 562) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 907

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

LCM(2, 907) = 1814

GCD(2, 907) = ( 2 x 907 ) / 1814

GCD(2, 907) = 1814 / 1814

GCD(2, 907) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 988

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

LCM(1, 988) = 988

GCD(1, 988) = ( 1 x 988 ) / 988

GCD(1, 988) = 988 / 988

GCD(1, 988) = 1

GCD of 148, 562, 907, 988 is 1

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1. What is the GCD of 148, 562, 907, 988?

GCD of 148, 562, 907, 988 is 1

2. Where do I get the detailed procedure to find GCD of 148, 562, 907, 988?

You can find a detailed procedure to find GCD of 148, 562, 907, 988 on our page.

3. How to find GCD of 148, 562, 907, 988 on a calculator?

You can find the GCD of 148, 562, 907, 988 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.