GCD of 320, 198, 718, 704 Calculator

Given Input numbers are 320, 198, 718, 704

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 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 718 :

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

1, 2, 359, 718

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

GCD of numbers is the greatest common divisor

So, the GCD (320, 198, 718, 704) = 2.

Given numbers are 320, 198, 718, 704

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 198 are 2 x 3 x 3 x 11

Prime factors of 718 are 2 x 359

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

The highest common occurrence is 2¹

Therefore, GCD of 320, 198, 718, 704 is 2.

Given numbers are 320, 198, 718, 704

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

Apply this formula for all numbers.

Step1:

LCM(320, 198) = 31680

GCD(320, 198) = ( 320 x 198 ) / 31680

= 320 / 198

= 320

Step2:

LCM(2, 718) = 718

GCD(2, 718) = ( 2 x 718 ) / 718

= 2 / 718

= 2

Step3:

LCM(2, 704) = 704

GCD(2, 704) = ( 2 x 704 ) / 704

= 2 / 704

= 2

So, Greatest Common Divisor of 320, 198, 718, 704 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 549, 486, 547, 698
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• GCD of 744, 254, 637, 317
• GCD of 820, 744, 241, 616
• GCD of 938, 314, 228, 231

Given numbers are 320, 198, 718, 704
The greatest common divisor of numbers 320, 198, 718, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 198, 718, 704 is 2.

1. What is the GCD of 320, 198, 718, 704?

GCD of given numbers 320, 198, 718, 704 is 2

2. How to calculate the greatest common divisor of 320, 198, 718, 704?

We can find the highest common divisor of 320, 198, 718, 704 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, 198, 718, 704 i.e 2.

3. How can I use the GCD of 320, 198, 718, 704Calculator?

Out the numbers 320, 198, 718, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.