GCD of 225, 480, 688, 716 Calculator

Given Input numbers are 225, 480, 688, 716

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

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

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

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

GCD of numbers is the greatest common divisor

So, the GCD (225, 480, 688, 716) = 1.

Given numbers are 225, 480, 688, 716

The list of prime factors of all numbers are

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 716 are 2 x 2 x 179

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

Given numbers are 225, 480, 688, 716

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

Apply this formula for all numbers.

Step1:

LCM(225, 480) = 7200

GCD(225, 480) = ( 225 x 480 ) / 7200

= 225 / 480

= 225

Step2:

LCM(15, 688) = 10320

GCD(15, 688) = ( 15 x 688 ) / 10320

= 15 / 688

= 15

Step3:

LCM(1, 716) = 716

GCD(1, 716) = ( 1 x 716 ) / 716

= 1 / 716

= 1

So, Greatest Common Divisor of 225, 480, 688, 716 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 563, 868, 938, 869
• GCD of 989, 991, 466, 109
• GCD of 711, 643, 395, 211
• GCD of 433, 710, 642, 677
• GCD of 115, 243, 386, 771

Given numbers are 225, 480, 688, 716
The greatest common divisor of numbers 225, 480, 688, 716 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 480, 688, 716 is 1.

1. What is the GCD of 225, 480, 688, 716?

GCD of given numbers 225, 480, 688, 716 is 1

2. How to calculate the greatest common divisor of 225, 480, 688, 716?

We can find the highest common divisor of 225, 480, 688, 716 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 225, 480, 688, 716 i.e 1.

3. How can I use the GCD of 225, 480, 688, 716Calculator?

Out the numbers 225, 480, 688, 716 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.