GCD of 376, 686, 776, 301 Calculator

Given Input numbers are 376, 686, 776, 301

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 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Greatest Common Divisior

We found the divisors of 376, 686, 776, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 376, 686, 776, 301 is 1.

Therefore, GCD of numbers 376, 686, 776, 301 is 1

Given Input Data is 376, 686, 776, 301

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 686 is 2 x 7 x 7 x 7

Prime Factorization of 776 is 2 x 2 x 2 x 97

Prime Factorization of 301 is 7 x 43

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, 686) = 128968

GCD(376, 686) = ( 376 x 686 ) / 128968

GCD(376, 686) = 257936 / 128968

GCD(376, 686) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 776

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

LCM(2, 776) = 776

GCD(2, 776) = ( 2 x 776 ) / 776

GCD(2, 776) = 1552 / 776

GCD(2, 776) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 301

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

LCM(2, 301) = 602

GCD(2, 301) = ( 2 x 301 ) / 602

GCD(2, 301) = 602 / 602

GCD(2, 301) = 1

GCD of 376, 686, 776, 301 is 1

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1. What is the GCD of 376, 686, 776, 301?

GCD of 376, 686, 776, 301 is 1

2. Where do I get the detailed procedure to find GCD of 376, 686, 776, 301?

You can find a detailed procedure to find GCD of 376, 686, 776, 301 on our page.

3. How to find GCD of 376, 686, 776, 301 on a calculator?

You can find the GCD of 376, 686, 776, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.