GCD of 308, 148, 86, 757 Calculator

Given Input numbers are 308, 148, 86, 757

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

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 148

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

1, 2, 4, 37, 74, 148

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Greatest Common Divisior

We found the divisors of 308, 148, 86, 757 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 148, 86, 757 is 1.

Therefore, GCD of numbers 308, 148, 86, 757 is 1

Given Input Data is 308, 148, 86, 757

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

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 86 is 2 x 43

Prime Factorization of 757 is 757

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(308, 148) = 11396

GCD(308, 148) = ( 308 x 148 ) / 11396

GCD(308, 148) = 45584 / 11396

GCD(308, 148) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 86

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

LCM(4, 86) = 172

GCD(4, 86) = ( 4 x 86 ) / 172

GCD(4, 86) = 344 / 172

GCD(4, 86) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 757

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

LCM(2, 757) = 1514

GCD(2, 757) = ( 2 x 757 ) / 1514

GCD(2, 757) = 1514 / 1514

GCD(2, 757) = 1

GCD of 308, 148, 86, 757 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 197, 710, 83, 107
• GCD of 148, 113, 67, 689
• GCD of 172, 205, 66, 150
• GCD of 571, 250, 70, 426
• GCD of 504, 960, 65, 268

1. What is the GCD of 308, 148, 86, 757?

GCD of 308, 148, 86, 757 is 1

2. Where do I get the detailed procedure to find GCD of 308, 148, 86, 757?

You can find a detailed procedure to find GCD of 308, 148, 86, 757 on our page.

3. How to find GCD of 308, 148, 86, 757 on a calculator?

You can find the GCD of 308, 148, 86, 757 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.