GCD of 152, 734, 370, 662 Calculator

Given Input numbers are 152, 734, 370, 662

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

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Greatest Common Divisior

We found the divisors of 152, 734, 370, 662 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 152, 734, 370, 662 is 2.

Therefore, GCD of numbers 152, 734, 370, 662 is 2

Given Input Data is 152, 734, 370, 662

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

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 734 is 2 x 367

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 662 is 2 x 331

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(152, 734) = 55784

GCD(152, 734) = ( 152 x 734 ) / 55784

GCD(152, 734) = 111568 / 55784

GCD(152, 734) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 370

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

LCM(2, 370) = 370

GCD(2, 370) = ( 2 x 370 ) / 370

GCD(2, 370) = 740 / 370

GCD(2, 370) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 662

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

LCM(2, 662) = 662

GCD(2, 662) = ( 2 x 662 ) / 662

GCD(2, 662) = 1324 / 662

GCD(2, 662) = 2

GCD of 152, 734, 370, 662 is 2

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1. What is the GCD of 152, 734, 370, 662?

GCD of 152, 734, 370, 662 is 2

2. Where do I get the detailed procedure to find GCD of 152, 734, 370, 662?

You can find a detailed procedure to find GCD of 152, 734, 370, 662 on our page.

3. How to find GCD of 152, 734, 370, 662 on a calculator?

You can find the GCD of 152, 734, 370, 662 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.