GCD of 124, 762, 45, 100 Calculator

Given Input numbers are 124, 762, 45, 100

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 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Greatest Common Divisior

We found the divisors of 124, 762, 45, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 124, 762, 45, 100 is 1.

Therefore, GCD of numbers 124, 762, 45, 100 is 1

Given Input Data is 124, 762, 45, 100

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 762 is 2 x 3 x 127

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 100 is 2 x 2 x 5 x 5

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, 762) = 47244

GCD(124, 762) = ( 124 x 762 ) / 47244

GCD(124, 762) = 94488 / 47244

GCD(124, 762) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 45

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

LCM(2, 45) = 90

GCD(2, 45) = ( 2 x 45 ) / 90

GCD(2, 45) = 90 / 90

GCD(2, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 124, 762, 45, 100 is 1

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1. What is the GCD of 124, 762, 45, 100?

GCD of 124, 762, 45, 100 is 1

2. Where do I get the detailed procedure to find GCD of 124, 762, 45, 100?

You can find a detailed procedure to find GCD of 124, 762, 45, 100 on our page.

3. How to find GCD of 124, 762, 45, 100 on a calculator?

You can find the GCD of 124, 762, 45, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.