GCD of 720, 153, 208, 505 Calculator

Given Input numbers are 720, 153, 208, 505

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

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 153 :

The positive integer divisors of 153 that completely divides 153 are.

1, 3, 9, 17, 51, 153

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 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

GCD of numbers is the greatest common divisor

So, the GCD (720, 153, 208, 505) = 1.

Given numbers are 720, 153, 208, 505

The list of prime factors of all numbers are

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

Prime factors of 153 are 3 x 3 x 17

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

Prime factors of 505 are 5 x 101

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

Given numbers are 720, 153, 208, 505

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

Apply this formula for all numbers.

Step1:

LCM(720, 153) = 12240

GCD(720, 153) = ( 720 x 153 ) / 12240

= 720 / 153

= 720

Step2:

LCM(9, 208) = 1872

GCD(9, 208) = ( 9 x 208 ) / 1872

= 9 / 208

= 9

Step3:

LCM(1, 505) = 505

GCD(1, 505) = ( 1 x 505 ) / 505

= 1 / 505

= 1

So, Greatest Common Divisor of 720, 153, 208, 505 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 258, 430, 127, 276
• GCD of 505, 219, 795, 181
• GCD of 942, 744, 354, 277
• GCD of 292, 426, 594, 811
• GCD of 566, 599, 608, 706

Given numbers are 720, 153, 208, 505
The greatest common divisor of numbers 720, 153, 208, 505 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 153, 208, 505 is 1.

1. What is the GCD of 720, 153, 208, 505?

GCD of given numbers 720, 153, 208, 505 is 1

2. How to calculate the greatest common divisor of 720, 153, 208, 505?

We can find the highest common divisor of 720, 153, 208, 505 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 720, 153, 208, 505 i.e 1.

3. How can I use the GCD of 720, 153, 208, 505Calculator?

Out the numbers 720, 153, 208, 505 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.