GCD of 100, 412, 748, 225 Calculator

Given Input numbers are 100, 412, 748, 225

In the factoring method, we have to find the divisors of all numbers

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

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

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

GCD of numbers is the greatest common divisor

So, the GCD (100, 412, 748, 225) = 1.

Given numbers are 100, 412, 748, 225

The list of prime factors of all numbers are

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 412 are 2 x 2 x 103

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 225 are 3 x 3 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 100, 412, 748, 225

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(100, 412) = 10300

GCD(100, 412) = ( 100 x 412 ) / 10300

= 100 / 412

= 100

Step2:

LCM(4, 748) = 748

GCD(4, 748) = ( 4 x 748 ) / 748

= 4 / 748

= 4

Step3:

LCM(4, 225) = 900

GCD(4, 225) = ( 4 x 225 ) / 900

= 4 / 225

= 4

So, Greatest Common Divisor of 100, 412, 748, 225 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 539, 674, 523, 306
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• GCD of 958, 222, 811, 659
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Given numbers are 100, 412, 748, 225
The greatest common divisor of numbers 100, 412, 748, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 412, 748, 225 is 1.

1. What is the GCD of 100, 412, 748, 225?

GCD of given numbers 100, 412, 748, 225 is 1

2. How to calculate the greatest common divisor of 100, 412, 748, 225?

We can find the highest common divisor of 100, 412, 748, 225 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 100, 412, 748, 225 i.e 1.

3. How can I use the GCD of 100, 412, 748, 225Calculator?

Out the numbers 100, 412, 748, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.