GCD of 718, 206, 732, 360 Calculator

Given Input numbers are 718, 206, 732, 360

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

Divisors of 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

Divisors of 206 :

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

1, 2, 103, 206

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

GCD of numbers is the greatest common divisor

So, the GCD (718, 206, 732, 360) = 2.

Given numbers are 718, 206, 732, 360

The list of prime factors of all numbers are

Prime factors of 718 are 2 x 359

Prime factors of 206 are 2 x 103

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 718, 206, 732, 360 is 2.

Given numbers are 718, 206, 732, 360

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

Apply this formula for all numbers.

Step1:

LCM(718, 206) = 73954

GCD(718, 206) = ( 718 x 206 ) / 73954

= 718 / 206

= 718

Step2:

LCM(2, 732) = 732

GCD(2, 732) = ( 2 x 732 ) / 732

= 2 / 732

= 2

Step3:

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

= 2 / 360

= 2

So, Greatest Common Divisor of 718, 206, 732, 360 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 528, 149, 827, 798
• GCD of 426, 667, 689, 531
• GCD of 601, 470, 200, 461
• GCD of 705, 587, 453, 534
• GCD of 728, 467, 612, 251

Given numbers are 718, 206, 732, 360
The greatest common divisor of numbers 718, 206, 732, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 718, 206, 732, 360 is 2.

1. What is the GCD of 718, 206, 732, 360?

GCD of given numbers 718, 206, 732, 360 is 2

2. How to calculate the greatest common divisor of 718, 206, 732, 360?

We can find the highest common divisor of 718, 206, 732, 360 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 718, 206, 732, 360 i.e 2.

3. How can I use the GCD of 718, 206, 732, 360Calculator?

Out the numbers 718, 206, 732, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.