GCD of 461, 489, 917, 100 Calculator

Given Input numbers are 461, 489, 917, 100

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

Divisors of 461 :

The positive integer divisors of 461 that completely divides 461 are.

1, 461

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 917 :

The positive integer divisors of 917 that completely divides 917 are.

1, 7, 131, 917

Divisors of 100 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (461, 489, 917, 100) = 1.

Given numbers are 461, 489, 917, 100

The list of prime factors of all numbers are

Prime factors of 461 are 461

Prime factors of 489 are 3 x 163

Prime factors of 917 are 7 x 131

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

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

Given numbers are 461, 489, 917, 100

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

Apply this formula for all numbers.

Step1:

LCM(461, 489) = 225429

GCD(461, 489) = ( 461 x 489 ) / 225429

= 461 / 489

= 461

Step2:

LCM(1, 917) = 917

GCD(1, 917) = ( 1 x 917 ) / 917

= 1 / 917

= 1

Step3:

LCM(1, 100) = 100

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

= 1 / 100

= 1

So, Greatest Common Divisor of 461, 489, 917, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 655, 928, 907, 696
• GCD of 769, 912, 552, 809
• GCD of 269, 511, 113, 556
• GCD of 828, 626, 166, 926
• GCD of 472, 425, 749, 360

Given numbers are 461, 489, 917, 100
The greatest common divisor of numbers 461, 489, 917, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 461, 489, 917, 100 is 1.

1. What is the GCD of 461, 489, 917, 100?

GCD of given numbers 461, 489, 917, 100 is 1

2. How to calculate the greatest common divisor of 461, 489, 917, 100?

We can find the highest common divisor of 461, 489, 917, 100 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 461, 489, 917, 100 i.e 1.

3. How can I use the GCD of 461, 489, 917, 100Calculator?

Out the numbers 461, 489, 917, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.