GCD of 100, 724, 481, 714 Calculator

Given Input numbers are 100, 724, 481, 714

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 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 481 :

The positive integer divisors of 481 that completely divides 481 are.

1, 13, 37, 481

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

GCD of numbers is the greatest common divisor

So, the GCD (100, 724, 481, 714) = 1.

Given numbers are 100, 724, 481, 714

The list of prime factors of all numbers are

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

Prime factors of 724 are 2 x 2 x 181

Prime factors of 481 are 13 x 37

Prime factors of 714 are 2 x 3 x 7 x 17

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

Given numbers are 100, 724, 481, 714

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

Apply this formula for all numbers.

Step1:

LCM(100, 724) = 18100

GCD(100, 724) = ( 100 x 724 ) / 18100

= 100 / 724

= 100

Step2:

LCM(4, 481) = 1924

GCD(4, 481) = ( 4 x 481 ) / 1924

= 4 / 481

= 4

Step3:

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

= 1 / 714

= 1

So, Greatest Common Divisor of 100, 724, 481, 714 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 557, 229, 634, 404
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• GCD of 807, 500, 277, 921
• GCD of 105, 940, 901, 902

Given numbers are 100, 724, 481, 714
The greatest common divisor of numbers 100, 724, 481, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 724, 481, 714 is 1.

1. What is the GCD of 100, 724, 481, 714?

GCD of given numbers 100, 724, 481, 714 is 1

2. How to calculate the greatest common divisor of 100, 724, 481, 714?

We can find the highest common divisor of 100, 724, 481, 714 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, 724, 481, 714 i.e 1.

3. How can I use the GCD of 100, 724, 481, 714Calculator?

Out the numbers 100, 724, 481, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.