GCD of 285, 675, 96, 700 Calculator

Given Input numbers are 285, 675, 96, 700

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

Divisors of 285 :

The positive integer divisors of 285 that completely divides 285 are.

1, 3, 5, 15, 19, 57, 95, 285

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 96 :

The positive integer divisors of 96 that completely divides 96 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

GCD of numbers is the greatest common divisor

So, the GCD (285, 675, 96, 700) = 1.

Given numbers are 285, 675, 96, 700

The list of prime factors of all numbers are

Prime factors of 285 are 3 x 5 x 19

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

Prime factors of 96 are 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

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

Given numbers are 285, 675, 96, 700

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

Apply this formula for all numbers.

Step1:

LCM(285, 675) = 12825

GCD(285, 675) = ( 285 x 675 ) / 12825

= 285 / 675

= 285

Step2:

LCM(15, 96) = 480

GCD(15, 96) = ( 15 x 96 ) / 480

= 15 / 96

= 15

Step3:

LCM(3, 700) = 2100

GCD(3, 700) = ( 3 x 700 ) / 2100

= 3 / 700

= 3

So, Greatest Common Divisor of 285, 675, 96, 700 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 313, 509, 79, 892
• GCD of 889, 261, 20, 407
• GCD of 957, 596, 26, 188
• GCD of 125, 282, 82, 279
• GCD of 481, 686, 84, 913

Given numbers are 285, 675, 96, 700
The greatest common divisor of numbers 285, 675, 96, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 285, 675, 96, 700 is 1.

1. What is the GCD of 285, 675, 96, 700?

GCD of given numbers 285, 675, 96, 700 is 1

2. How to calculate the greatest common divisor of 285, 675, 96, 700?

We can find the highest common divisor of 285, 675, 96, 700 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 285, 675, 96, 700 i.e 1.

3. How can I use the GCD of 285, 675, 96, 700Calculator?

Out the numbers 285, 675, 96, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.