GCD of 376, 412, 499, 967 Calculator

Given Input numbers are 376, 412, 499, 967

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 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Greatest Common Divisior

We found the divisors of 376, 412, 499, 967 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 376, 412, 499, 967 is 1.

Therefore, GCD of numbers 376, 412, 499, 967 is 1

Given Input Data is 376, 412, 499, 967

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 412 is 2 x 2 x 103

Prime Factorization of 499 is 499

Prime Factorization of 967 is 967

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, 412) = 38728

GCD(376, 412) = ( 376 x 412 ) / 38728

GCD(376, 412) = 154912 / 38728

GCD(376, 412) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 499

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

LCM(4, 499) = 1996

GCD(4, 499) = ( 4 x 499 ) / 1996

GCD(4, 499) = 1996 / 1996

GCD(4, 499) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 967

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

LCM(1, 967) = 967

GCD(1, 967) = ( 1 x 967 ) / 967

GCD(1, 967) = 967 / 967

GCD(1, 967) = 1

GCD of 376, 412, 499, 967 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 456, 816, 539, 866
• GCD of 103, 574, 212, 449
• GCD of 104, 998, 595, 671
• GCD of 122, 623, 763, 400
• GCD of 732, 969, 290, 328

1. What is the GCD of 376, 412, 499, 967?

GCD of 376, 412, 499, 967 is 1

2. Where do I get the detailed procedure to find GCD of 376, 412, 499, 967?

You can find a detailed procedure to find GCD of 376, 412, 499, 967 on our page.

3. How to find GCD of 376, 412, 499, 967 on a calculator?

You can find the GCD of 376, 412, 499, 967 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.