GCD of 372, 148, 77, 315 Calculator

Given Input numbers are 372, 148, 77, 315

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

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 148

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

1, 2, 4, 37, 74, 148

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Greatest Common Divisior

We found the divisors of 372, 148, 77, 315 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 372, 148, 77, 315 is 1.

Therefore, GCD of numbers 372, 148, 77, 315 is 1

Given Input Data is 372, 148, 77, 315

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

Prime Factorization of 372 is 2 x 2 x 3 x 31

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 77 is 7 x 11

Prime Factorization of 315 is 3 x 3 x 5 x 7

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(372, 148) = 13764

GCD(372, 148) = ( 372 x 148 ) / 13764

GCD(372, 148) = 55056 / 13764

GCD(372, 148) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 77

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

LCM(4, 77) = 308

GCD(4, 77) = ( 4 x 77 ) / 308

GCD(4, 77) = 308 / 308

GCD(4, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 315

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

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

GCD(1, 315) = 315 / 315

GCD(1, 315) = 1

GCD of 372, 148, 77, 315 is 1

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• GCD of 960, 906, 58, 941
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1. What is the GCD of 372, 148, 77, 315?

GCD of 372, 148, 77, 315 is 1

2. Where do I get the detailed procedure to find GCD of 372, 148, 77, 315?

You can find a detailed procedure to find GCD of 372, 148, 77, 315 on our page.

3. How to find GCD of 372, 148, 77, 315 on a calculator?

You can find the GCD of 372, 148, 77, 315 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.