GCD of 705, 999, 975 Calculator

Given Input numbers are 705, 999, 975

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

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 999 :

The positive integer divisors of 999 that completely divides 999 are.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

GCD of numbers is the greatest common divisor

So, the GCD (705, 999, 975) = 3.

Given numbers are 705, 999, 975

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

Prime factors of 999 are 3 x 3 x 3 x 37

Prime factors of 975 are 3 x 5 x 5 x 13

The highest common occurrence is 3¹

Therefore, GCD of 705, 999, 975 is 3.

Given numbers are 705, 999, 975

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

Apply this formula for all numbers.

Step1:

LCM(705, 999) = 234765

GCD(705, 999) = ( 705 x 999 ) / 234765

= 705 / 999

= 705

Step2:

LCM(3, 975) = 975

GCD(3, 975) = ( 3 x 975 ) / 975

= 3 / 975

= 3

So, Greatest Common Divisor of 705, 999, 975 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 554, 449, 805
• GCD of 601, 759, 571
• GCD of 243, 476, 833
• GCD of 970, 266, 667
• GCD of 804, 206, 569

Given numbers are 705, 999, 975
The greatest common divisor of numbers 705, 999, 975 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 999, 975 is 3.

1. What is the GCD of 705, 999, 975?

GCD of given numbers 705, 999, 975 is 3

2. How to calculate the greatest common divisor of 705, 999, 975?

We can find the highest common divisor of 705, 999, 975 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 705, 999, 975 i.e 3.

3. How can I use the GCD of 705, 999, 975Calculator?

Out the numbers 705, 999, 975 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.