GCD of 318, 645, 698, 960 Calculator

Given Input numbers are 318, 645, 698, 960

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

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

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 (318, 645, 698, 960) = 1.

Given numbers are 318, 645, 698, 960

The list of prime factors of all numbers are

Prime factors of 318 are 2 x 3 x 53

Prime factors of 645 are 3 x 5 x 43

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 above numbers do not have any common prime factor. So GCD is 1

Given numbers are 318, 645, 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(318, 645) = 68370

GCD(318, 645) = ( 318 x 645 ) / 68370

= 318 / 645

= 318

Step2:

LCM(3, 698) = 2094

GCD(3, 698) = ( 3 x 698 ) / 2094

= 3 / 698

= 3

Step3:

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

= 1 / 960

= 1

So, Greatest Common Divisor of 318, 645, 698, 960 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 596, 672, 222, 228
• GCD of 891, 737, 965, 229
• GCD of 380, 342, 922, 894
• GCD of 232, 993, 151, 870
• GCD of 846, 610, 575, 589

Given numbers are 318, 645, 698, 960
The greatest common divisor of numbers 318, 645, 698, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 645, 698, 960 is 1.

1. What is the GCD of 318, 645, 698, 960?

GCD of given numbers 318, 645, 698, 960 is 1

2. How to calculate the greatest common divisor of 318, 645, 698, 960?

We can find the highest common divisor of 318, 645, 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 318, 645, 698, 960 i.e 1.

3. How can I use the GCD of 318, 645, 698, 960Calculator?

Out the numbers 318, 645, 698, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.