GCD of 160, 288, 696, 714 Calculator

Given Input numbers are 160, 288, 696, 714

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

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

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

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

GCD of numbers is the greatest common divisor

So, the GCD (160, 288, 696, 714) = 2.

Given numbers are 160, 288, 696, 714

The list of prime factors of all numbers are

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 714 are 2 x 3 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 160, 288, 696, 714 is 2.

Given numbers are 160, 288, 696, 714

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

Apply this formula for all numbers.

Step1:

LCM(160, 288) = 1440

GCD(160, 288) = ( 160 x 288 ) / 1440

= 160 / 288

= 160

Step2:

LCM(32, 696) = 2784

GCD(32, 696) = ( 32 x 696 ) / 2784

= 32 / 696

= 32

Step3:

LCM(8, 714) = 2856

GCD(8, 714) = ( 8 x 714 ) / 2856

= 8 / 714

= 8

So, Greatest Common Divisor of 160, 288, 696, 714 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 249, 470, 232, 132
• GCD of 331, 320, 756, 153
• GCD of 385, 602, 123, 225
• GCD of 891, 425, 119, 220
• GCD of 249, 393, 965, 371

Given numbers are 160, 288, 696, 714
The greatest common divisor of numbers 160, 288, 696, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 160, 288, 696, 714 is 2.

1. What is the GCD of 160, 288, 696, 714?

GCD of given numbers 160, 288, 696, 714 is 2

2. How to calculate the greatest common divisor of 160, 288, 696, 714?

We can find the highest common divisor of 160, 288, 696, 714 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 160, 288, 696, 714 i.e 2.

3. How can I use the GCD of 160, 288, 696, 714Calculator?

Out the numbers 160, 288, 696, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.