GCD of 708, 540, 340, 864 Calculator

Given Input numbers are 708, 540, 340, 864

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

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

GCD of numbers is the greatest common divisor

So, the GCD (708, 540, 340, 864) = 4.

Given numbers are 708, 540, 340, 864

The list of prime factors of all numbers are

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2²

Therefore, GCD of 708, 540, 340, 864 is 4.

Given numbers are 708, 540, 340, 864

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

Apply this formula for all numbers.

Step1:

LCM(708, 540) = 31860

GCD(708, 540) = ( 708 x 540 ) / 31860

= 708 / 540

= 708

Step2:

LCM(12, 340) = 1020

GCD(12, 340) = ( 12 x 340 ) / 1020

= 12 / 340

= 12

Step3:

LCM(4, 864) = 864

GCD(4, 864) = ( 4 x 864 ) / 864

= 4 / 864

= 4

So, Greatest Common Divisor of 708, 540, 340, 864 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 355, 167, 837, 865
• GCD of 817, 161, 771, 990
• GCD of 473, 902, 322, 660
• GCD of 284, 156, 431, 755
• GCD of 184, 652, 401, 758

Given numbers are 708, 540, 340, 864
The greatest common divisor of numbers 708, 540, 340, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 540, 340, 864 is 4.

1. What is the GCD of 708, 540, 340, 864?

GCD of given numbers 708, 540, 340, 864 is 4

2. How to calculate the greatest common divisor of 708, 540, 340, 864?

We can find the highest common divisor of 708, 540, 340, 864 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 708, 540, 340, 864 i.e 4.

3. How can I use the GCD of 708, 540, 340, 864Calculator?

Out the numbers 708, 540, 340, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.