GCD of 148, 658, 136, 766 Calculator

Given Input numbers are 148, 658, 136, 766

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 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Greatest Common Divisior

We found the divisors of 148, 658, 136, 766 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 658, 136, 766 is 2.

Therefore, GCD of numbers 148, 658, 136, 766 is 2

Given Input Data is 148, 658, 136, 766

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 658 is 2 x 7 x 47

Prime Factorization of 136 is 2 x 2 x 2 x 17

Prime Factorization of 766 is 2 x 383

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(148, 658) = 48692

GCD(148, 658) = ( 148 x 658 ) / 48692

GCD(148, 658) = 97384 / 48692

GCD(148, 658) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 136

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

LCM(2, 136) = 136

GCD(2, 136) = ( 2 x 136 ) / 136

GCD(2, 136) = 272 / 136

GCD(2, 136) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 766

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

LCM(2, 766) = 766

GCD(2, 766) = ( 2 x 766 ) / 766

GCD(2, 766) = 1532 / 766

GCD(2, 766) = 2

GCD of 148, 658, 136, 766 is 2

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1. What is the GCD of 148, 658, 136, 766?

GCD of 148, 658, 136, 766 is 2

2. Where do I get the detailed procedure to find GCD of 148, 658, 136, 766?

You can find a detailed procedure to find GCD of 148, 658, 136, 766 on our page.

3. How to find GCD of 148, 658, 136, 766 on a calculator?

You can find the GCD of 148, 658, 136, 766 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.