GCD of 100, 845, 675 Calculator

Given Input numbers are 100, 845, 675

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 845 :

The positive integer divisors of 845 that completely divides 845 are.

1, 5, 13, 65, 169, 845

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

GCD of numbers is the greatest common divisor

So, the GCD (100, 845, 675) = 5.

Given numbers are 100, 845, 675

The list of prime factors of all numbers are

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

Prime factors of 845 are 5 x 13 x 13

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

The highest common occurrence is 5¹

Therefore, GCD of 100, 845, 675 is 5.

Given numbers are 100, 845, 675

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

Apply this formula for all numbers.

Step1:

LCM(100, 845) = 16900

GCD(100, 845) = ( 100 x 845 ) / 16900

= 100 / 845

= 100

Step2:

LCM(5, 675) = 675

GCD(5, 675) = ( 5 x 675 ) / 675

= 5 / 675

= 5

So, Greatest Common Divisor of 100, 845, 675 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 124, 934, 188
• GCD of 184, 615, 139
• GCD of 766, 301, 477
• GCD of 633, 857, 894
• GCD of 807, 283, 503

Given numbers are 100, 845, 675
The greatest common divisor of numbers 100, 845, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 845, 675 is 5.

1. What is the GCD of 100, 845, 675?

GCD of given numbers 100, 845, 675 is 5

2. How to calculate the greatest common divisor of 100, 845, 675?

We can find the highest common divisor of 100, 845, 675 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, 845, 675 i.e 5.

3. How can I use the GCD of 100, 845, 675Calculator?

Out the numbers 100, 845, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.