GCD of 100, 292, 645, 738 Calculator

Given Input numbers are 100, 292, 645, 738

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 292 :

The positive integer divisors of 292 that completely divides 292 are.

1, 2, 4, 73, 146, 292

Divisors of 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

GCD of numbers is the greatest common divisor

So, the GCD (100, 292, 645, 738) = 1.

Given numbers are 100, 292, 645, 738

The list of prime factors of all numbers are

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

Prime factors of 292 are 2 x 2 x 73

Prime factors of 645 are 3 x 5 x 43

Prime factors of 738 are 2 x 3 x 3 x 41

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

Given numbers are 100, 292, 645, 738

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

Apply this formula for all numbers.

Step1:

LCM(100, 292) = 7300

GCD(100, 292) = ( 100 x 292 ) / 7300

= 100 / 292

= 100

Step2:

LCM(4, 645) = 2580

GCD(4, 645) = ( 4 x 645 ) / 2580

= 4 / 645

= 4

Step3:

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

= 1 / 738

= 1

So, Greatest Common Divisor of 100, 292, 645, 738 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 106, 768, 571, 259
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• GCD of 166, 241, 495, 909

Given numbers are 100, 292, 645, 738
The greatest common divisor of numbers 100, 292, 645, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 292, 645, 738 is 1.

1. What is the GCD of 100, 292, 645, 738?

GCD of given numbers 100, 292, 645, 738 is 1

2. How to calculate the greatest common divisor of 100, 292, 645, 738?

We can find the highest common divisor of 100, 292, 645, 738 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, 292, 645, 738 i.e 1.

3. How can I use the GCD of 100, 292, 645, 738Calculator?

Out the numbers 100, 292, 645, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.