GCD of 320, 120, 694, 282 Calculator

Given Input numbers are 320, 120, 694, 282

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

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

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

Divisors of 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

Divisors of 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

GCD of numbers is the greatest common divisor

So, the GCD (320, 120, 694, 282) = 2.

Given numbers are 320, 120, 694, 282

The list of prime factors of all numbers are

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

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

Prime factors of 694 are 2 x 347

Prime factors of 282 are 2 x 3 x 47

The highest common occurrence is 2¹

Therefore, GCD of 320, 120, 694, 282 is 2.

Given numbers are 320, 120, 694, 282

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

Apply this formula for all numbers.

Step1:

LCM(320, 120) = 960

GCD(320, 120) = ( 320 x 120 ) / 960

= 320 / 120

= 320

Step2:

LCM(40, 694) = 13880

GCD(40, 694) = ( 40 x 694 ) / 13880

= 40 / 694

= 40

Step3:

LCM(2, 282) = 282

GCD(2, 282) = ( 2 x 282 ) / 282

= 2 / 282

= 2

So, Greatest Common Divisor of 320, 120, 694, 282 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 254, 364, 880, 925
• GCD of 759, 760, 186, 202
• GCD of 358, 465, 365, 835
• GCD of 622, 974, 853, 746
• GCD of 646, 316, 170, 323

Given numbers are 320, 120, 694, 282
The greatest common divisor of numbers 320, 120, 694, 282 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 120, 694, 282 is 2.

1. What is the GCD of 320, 120, 694, 282?

GCD of given numbers 320, 120, 694, 282 is 2

2. How to calculate the greatest common divisor of 320, 120, 694, 282?

We can find the highest common divisor of 320, 120, 694, 282 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 320, 120, 694, 282 i.e 2.

3. How can I use the GCD of 320, 120, 694, 282Calculator?

Out the numbers 320, 120, 694, 282 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.