GCD of 206, 232, 698, 960 Calculator

Given Input numbers are 206, 232, 698, 960

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

Divisors of 206 :

The positive integer divisors of 206 that completely divides 206 are.

1, 2, 103, 206

Divisors of 232 :

The positive integer divisors of 232 that completely divides 232 are.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

GCD of numbers is the greatest common divisor

So, the GCD (206, 232, 698, 960) = 2.

Given numbers are 206, 232, 698, 960

The list of prime factors of all numbers are

Prime factors of 206 are 2 x 103

Prime factors of 232 are 2 x 2 x 2 x 29

Prime factors of 698 are 2 x 349

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 206, 232, 698, 960 is 2.

Given numbers are 206, 232, 698, 960

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

Apply this formula for all numbers.

Step1:

LCM(206, 232) = 23896

GCD(206, 232) = ( 206 x 232 ) / 23896

= 206 / 232

= 206

Step2:

LCM(2, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

= 2 / 698

= 2

Step3:

LCM(2, 960) = 960

GCD(2, 960) = ( 2 x 960 ) / 960

= 2 / 960

= 2

So, Greatest Common Divisor of 206, 232, 698, 960 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 716, 163, 155, 534
• GCD of 886, 888, 386, 750
• GCD of 466, 556, 356, 484
• GCD of 108, 936, 682, 876
• GCD of 179, 600, 503, 522

Given numbers are 206, 232, 698, 960
The greatest common divisor of numbers 206, 232, 698, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 206, 232, 698, 960 is 2.

1. What is the GCD of 206, 232, 698, 960?

GCD of given numbers 206, 232, 698, 960 is 2

2. How to calculate the greatest common divisor of 206, 232, 698, 960?

We can find the highest common divisor of 206, 232, 698, 960 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 206, 232, 698, 960 i.e 2.

3. How can I use the GCD of 206, 232, 698, 960Calculator?

Out the numbers 206, 232, 698, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.