GCD of 208, 984, 720, 315 Calculator

Given Input numbers are 208, 984, 720, 315

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

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

GCD of numbers is the greatest common divisor

So, the GCD (208, 984, 720, 315) = 1.

Given numbers are 208, 984, 720, 315

The list of prime factors of all numbers are

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 315 are 3 x 3 x 5 x 7

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

Given numbers are 208, 984, 720, 315

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

Apply this formula for all numbers.

Step1:

LCM(208, 984) = 25584

GCD(208, 984) = ( 208 x 984 ) / 25584

= 208 / 984

= 208

Step2:

LCM(8, 720) = 720

GCD(8, 720) = ( 8 x 720 ) / 720

= 8 / 720

= 8

Step3:

LCM(8, 315) = 2520

GCD(8, 315) = ( 8 x 315 ) / 2520

= 8 / 315

= 8

So, Greatest Common Divisor of 208, 984, 720, 315 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 730, 241, 825, 809
• GCD of 945, 707, 898, 208
• GCD of 364, 655, 249, 455
• GCD of 901, 673, 607, 578
• GCD of 784, 532, 130, 948

Given numbers are 208, 984, 720, 315
The greatest common divisor of numbers 208, 984, 720, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 984, 720, 315 is 1.

1. What is the GCD of 208, 984, 720, 315?

GCD of given numbers 208, 984, 720, 315 is 1

2. How to calculate the greatest common divisor of 208, 984, 720, 315?

We can find the highest common divisor of 208, 984, 720, 315 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 208, 984, 720, 315 i.e 1.

3. How can I use the GCD of 208, 984, 720, 315Calculator?

Out the numbers 208, 984, 720, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.