GCD of 376, 308, 768, 661 Calculator

Given Input numbers are 376, 308, 768, 661

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

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

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 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Greatest Common Divisior

We found the divisors of 376, 308, 768, 661 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 376, 308, 768, 661 is 1.

Therefore, GCD of numbers 376, 308, 768, 661 is 1

Given Input Data is 376, 308, 768, 661

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

Prime Factorization of 376 is 2 x 2 x 2 x 47

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

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 661 is 661

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(376, 308) = 28952

GCD(376, 308) = ( 376 x 308 ) / 28952

GCD(376, 308) = 115808 / 28952

GCD(376, 308) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 768

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

LCM(4, 768) = 768

GCD(4, 768) = ( 4 x 768 ) / 768

GCD(4, 768) = 3072 / 768

GCD(4, 768) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 661

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

LCM(4, 661) = 2644

GCD(4, 661) = ( 4 x 661 ) / 2644

GCD(4, 661) = 2644 / 2644

GCD(4, 661) = 1

GCD of 376, 308, 768, 661 is 1

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1. What is the GCD of 376, 308, 768, 661?

GCD of 376, 308, 768, 661 is 1

2. Where do I get the detailed procedure to find GCD of 376, 308, 768, 661?

You can find a detailed procedure to find GCD of 376, 308, 768, 661 on our page.

3. How to find GCD of 376, 308, 768, 661 on a calculator?

You can find the GCD of 376, 308, 768, 661 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.