GCD of 864, 340, 686, 120 Calculator

Given Input numbers are 864, 340, 686, 120

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

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

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 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

GCD of numbers is the greatest common divisor

So, the GCD (864, 340, 686, 120) = 2.

Given numbers are 864, 340, 686, 120

The list of prime factors of all numbers are

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

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

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 864, 340, 686, 120 is 2.

Given numbers are 864, 340, 686, 120

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

Apply this formula for all numbers.

Step1:

LCM(864, 340) = 73440

GCD(864, 340) = ( 864 x 340 ) / 73440

= 864 / 340

= 864

Step2:

LCM(4, 686) = 1372

GCD(4, 686) = ( 4 x 686 ) / 1372

= 4 / 686

= 4

Step3:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2

So, Greatest Common Divisor of 864, 340, 686, 120 is 2

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• GCD of 672, 842, 282, 461
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Given numbers are 864, 340, 686, 120
The greatest common divisor of numbers 864, 340, 686, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 340, 686, 120 is 2.

1. What is the GCD of 864, 340, 686, 120?

GCD of given numbers 864, 340, 686, 120 is 2

2. How to calculate the greatest common divisor of 864, 340, 686, 120?

We can find the highest common divisor of 864, 340, 686, 120 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 864, 340, 686, 120 i.e 2.

3. How can I use the GCD of 864, 340, 686, 120Calculator?

Out the numbers 864, 340, 686, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.