GCD of 948, 974, 412, 671 Calculator

Given Input numbers are 948, 974, 412, 671

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

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 412

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

1, 2, 4, 103, 206, 412

Divisors of 671

List of positive integer divisors of 671 that divides 671 without a remainder.

1, 11, 61, 671

Greatest Common Divisior

We found the divisors of 948, 974, 412, 671 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 948, 974, 412, 671 is 1.

Therefore, GCD of numbers 948, 974, 412, 671 is 1

Given Input Data is 948, 974, 412, 671

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

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 974 is 2 x 487

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 671 is 11 x 61

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(948, 974) = 461676

GCD(948, 974) = ( 948 x 974 ) / 461676

GCD(948, 974) = 923352 / 461676

GCD(948, 974) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 412

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

LCM(2, 412) = 412

GCD(2, 412) = ( 2 x 412 ) / 412

GCD(2, 412) = 824 / 412

GCD(2, 412) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 671

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

LCM(2, 671) = 1342

GCD(2, 671) = ( 2 x 671 ) / 1342

GCD(2, 671) = 1342 / 1342

GCD(2, 671) = 1

GCD of 948, 974, 412, 671 is 1

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1. What is the GCD of 948, 974, 412, 671?

GCD of 948, 974, 412, 671 is 1

2. Where do I get the detailed procedure to find GCD of 948, 974, 412, 671?

You can find a detailed procedure to find GCD of 948, 974, 412, 671 on our page.

3. How to find GCD of 948, 974, 412, 671 on a calculator?

You can find the GCD of 948, 974, 412, 671 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.