GCD of 705, 612, 870, 129 Calculator

Given Input numbers are 705, 612, 870, 129

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 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 129 :

The positive integer divisors of 129 that completely divides 129 are.

1, 3, 43, 129

GCD of numbers is the greatest common divisor

So, the GCD (705, 612, 870, 129) = 3.

Given numbers are 705, 612, 870, 129

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 129 are 3 x 43

The highest common occurrence is 3¹

Therefore, GCD of 705, 612, 870, 129 is 3.

Given numbers are 705, 612, 870, 129

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

Apply this formula for all numbers.

Step1:

LCM(705, 612) = 143820

GCD(705, 612) = ( 705 x 612 ) / 143820

= 705 / 612

= 705

Step2:

LCM(3, 870) = 870

GCD(3, 870) = ( 3 x 870 ) / 870

= 3 / 870

= 3

Step3:

LCM(3, 129) = 129

GCD(3, 129) = ( 3 x 129 ) / 129

= 3 / 129

= 3

So, Greatest Common Divisor of 705, 612, 870, 129 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 278, 543, 646, 122
• GCD of 364, 872, 552, 352
• GCD of 418, 145, 855, 948
• GCD of 607, 513, 647, 151
• GCD of 137, 219, 172, 644

Given numbers are 705, 612, 870, 129
The greatest common divisor of numbers 705, 612, 870, 129 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 612, 870, 129 is 3.

1. What is the GCD of 705, 612, 870, 129?

GCD of given numbers 705, 612, 870, 129 is 3

2. How to calculate the greatest common divisor of 705, 612, 870, 129?

We can find the highest common divisor of 705, 612, 870, 129 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, 612, 870, 129 i.e 3.

3. How can I use the GCD of 705, 612, 870, 129Calculator?

Out the numbers 705, 612, 870, 129 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.