GCD of 660, 720, 345, 455 Calculator

Given Input numbers are 660, 720, 345, 455

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

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

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 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 455 :

The positive integer divisors of 455 that completely divides 455 are.

1, 5, 7, 13, 35, 65, 91, 455

GCD of numbers is the greatest common divisor

So, the GCD (660, 720, 345, 455) = 5.

Given numbers are 660, 720, 345, 455

The list of prime factors of all numbers are

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

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

Prime factors of 345 are 3 x 5 x 23

Prime factors of 455 are 5 x 7 x 13

The highest common occurrence is 5¹

Therefore, GCD of 660, 720, 345, 455 is 5.

Given numbers are 660, 720, 345, 455

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

Apply this formula for all numbers.

Step1:

LCM(660, 720) = 7920

GCD(660, 720) = ( 660 x 720 ) / 7920

= 660 / 720

= 660

Step2:

LCM(60, 345) = 1380

GCD(60, 345) = ( 60 x 345 ) / 1380

= 60 / 345

= 60

Step3:

LCM(15, 455) = 1365

GCD(15, 455) = ( 15 x 455 ) / 1365

= 15 / 455

= 15

So, Greatest Common Divisor of 660, 720, 345, 455 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 763, 359, 493, 588
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• GCD of 788, 852, 311, 245
• GCD of 799, 352, 830, 107
• GCD of 970, 279, 680, 131

Given numbers are 660, 720, 345, 455
The greatest common divisor of numbers 660, 720, 345, 455 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 720, 345, 455 is 5.

1. What is the GCD of 660, 720, 345, 455?

GCD of given numbers 660, 720, 345, 455 is 5

2. How to calculate the greatest common divisor of 660, 720, 345, 455?

We can find the highest common divisor of 660, 720, 345, 455 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 660, 720, 345, 455 i.e 5.

3. How can I use the GCD of 660, 720, 345, 455Calculator?

Out the numbers 660, 720, 345, 455 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.