GCD of 708, 473, 74, 948 Calculator

Given Input numbers are 708, 473, 74, 948

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

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

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

Greatest Common Divisior

We found the divisors of 708, 473, 74, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 473, 74, 948 is 1.

Therefore, GCD of numbers 708, 473, 74, 948 is 1

Given Input Data is 708, 473, 74, 948

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 473 is 11 x 43

Prime Factorization of 74 is 2 x 37

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

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(708, 473) = 334884

GCD(708, 473) = ( 708 x 473 ) / 334884

GCD(708, 473) = 334884 / 334884

GCD(708, 473) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 948

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

LCM(1, 948) = 948

GCD(1, 948) = ( 1 x 948 ) / 948

GCD(1, 948) = 948 / 948

GCD(1, 948) = 1

GCD of 708, 473, 74, 948 is 1

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1. What is the GCD of 708, 473, 74, 948?

GCD of 708, 473, 74, 948 is 1

2. Where do I get the detailed procedure to find GCD of 708, 473, 74, 948?

You can find a detailed procedure to find GCD of 708, 473, 74, 948 on our page.

3. How to find GCD of 708, 473, 74, 948 on a calculator?

You can find the GCD of 708, 473, 74, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.