GCD of 742, 154, 625, 416 Calculator

Given Input numbers are 742, 154, 625, 416

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

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

Greatest Common Divisior

We found the divisors of 742, 154, 625, 416 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 154, 625, 416 is 1.

Therefore, GCD of numbers 742, 154, 625, 416 is 1

Given Input Data is 742, 154, 625, 416

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 625 is 5 x 5 x 5 x 5

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

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(742, 154) = 8162

GCD(742, 154) = ( 742 x 154 ) / 8162

GCD(742, 154) = 114268 / 8162

GCD(742, 154) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 625

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

LCM(14, 625) = 8750

GCD(14, 625) = ( 14 x 625 ) / 8750

GCD(14, 625) = 8750 / 8750

GCD(14, 625) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 416

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

LCM(1, 416) = 416

GCD(1, 416) = ( 1 x 416 ) / 416

GCD(1, 416) = 416 / 416

GCD(1, 416) = 1

GCD of 742, 154, 625, 416 is 1

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1. What is the GCD of 742, 154, 625, 416?

GCD of 742, 154, 625, 416 is 1

2. Where do I get the detailed procedure to find GCD of 742, 154, 625, 416?

You can find a detailed procedure to find GCD of 742, 154, 625, 416 on our page.

3. How to find GCD of 742, 154, 625, 416 on a calculator?

You can find the GCD of 742, 154, 625, 416 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.