GCD of 675, 645, 898, 100 Calculator

Given Input numbers are 675, 645, 898, 100

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

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

Divisors of 645 :

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

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

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

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 (675, 645, 898, 100) = 1.

Given numbers are 675, 645, 898, 100

The list of prime factors of all numbers are

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

Prime factors of 645 are 3 x 5 x 43

Prime factors of 898 are 2 x 449

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 675, 645, 898, 100

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

Apply this formula for all numbers.

Step1:

LCM(675, 645) = 29025

GCD(675, 645) = ( 675 x 645 ) / 29025

= 675 / 645

= 675

Step2:

LCM(15, 898) = 13470

GCD(15, 898) = ( 15 x 898 ) / 13470

= 15 / 898

= 15

Step3:

LCM(1, 100) = 100

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

= 1 / 100

= 1

So, Greatest Common Divisor of 675, 645, 898, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 708, 441, 112, 113
• GCD of 371, 801, 157, 912
• GCD of 273, 576, 593, 585
• GCD of 233, 679, 130, 629
• GCD of 401, 128, 573, 280

Given numbers are 675, 645, 898, 100
The greatest common divisor of numbers 675, 645, 898, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 675, 645, 898, 100 is 1.

1. What is the GCD of 675, 645, 898, 100?

GCD of given numbers 675, 645, 898, 100 is 1

2. How to calculate the greatest common divisor of 675, 645, 898, 100?

We can find the highest common divisor of 675, 645, 898, 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 675, 645, 898, 100 i.e 1.

3. How can I use the GCD of 675, 645, 898, 100Calculator?

Out the numbers 675, 645, 898, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.