GCD of 100, 522, 407, 490 Calculator

Given Input numbers are 100, 522, 407, 490

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 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 407 :

The positive integer divisors of 407 that completely divides 407 are.

1, 11, 37, 407

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

GCD of numbers is the greatest common divisor

So, the GCD (100, 522, 407, 490) = 1.

Given numbers are 100, 522, 407, 490

The list of prime factors of all numbers are

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

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 407 are 11 x 37

Prime factors of 490 are 2 x 5 x 7 x 7

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

Given numbers are 100, 522, 407, 490

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

Apply this formula for all numbers.

Step1:

LCM(100, 522) = 26100

GCD(100, 522) = ( 100 x 522 ) / 26100

= 100 / 522

= 100

Step2:

LCM(2, 407) = 814

GCD(2, 407) = ( 2 x 407 ) / 814

= 2 / 407

= 2

Step3:

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

= 1 / 490

= 1

So, Greatest Common Divisor of 100, 522, 407, 490 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 765, 556, 968, 303
• GCD of 352, 518, 556, 876
• GCD of 101, 413, 538, 714
• GCD of 425, 822, 800, 764
• GCD of 869, 416, 408, 680

Given numbers are 100, 522, 407, 490
The greatest common divisor of numbers 100, 522, 407, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 522, 407, 490 is 1.

1. What is the GCD of 100, 522, 407, 490?

GCD of given numbers 100, 522, 407, 490 is 1

2. How to calculate the greatest common divisor of 100, 522, 407, 490?

We can find the highest common divisor of 100, 522, 407, 490 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, 522, 407, 490 i.e 1.

3. How can I use the GCD of 100, 522, 407, 490Calculator?

Out the numbers 100, 522, 407, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.