GCD of 124, 708, 416, 553 Calculator

Given Input numbers are 124, 708, 416, 553

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

Divisors of 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

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 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Greatest Common Divisior

We found the divisors of 124, 708, 416, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 124, 708, 416, 553 is 1.

Therefore, GCD of numbers 124, 708, 416, 553 is 1

Given Input Data is 124, 708, 416, 553

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

Prime Factorization of 124 is 2 x 2 x 31

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

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 553 is 7 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(124, 708) = 21948

GCD(124, 708) = ( 124 x 708 ) / 21948

GCD(124, 708) = 87792 / 21948

GCD(124, 708) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 416

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

LCM(4, 416) = 416

GCD(4, 416) = ( 4 x 416 ) / 416

GCD(4, 416) = 1664 / 416

GCD(4, 416) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 553

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

LCM(4, 553) = 2212

GCD(4, 553) = ( 4 x 553 ) / 2212

GCD(4, 553) = 2212 / 2212

GCD(4, 553) = 1

GCD of 124, 708, 416, 553 is 1

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1. What is the GCD of 124, 708, 416, 553?

GCD of 124, 708, 416, 553 is 1

2. Where do I get the detailed procedure to find GCD of 124, 708, 416, 553?

You can find a detailed procedure to find GCD of 124, 708, 416, 553 on our page.

3. How to find GCD of 124, 708, 416, 553 on a calculator?

You can find the GCD of 124, 708, 416, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.