GCD of 465, 640, 660, 455 Calculator

Given Input numbers are 465, 640, 660, 455

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

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 640 :

The positive integer divisors of 640 that completely divides 640 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

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 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 (465, 640, 660, 455) = 5.

Given numbers are 465, 640, 660, 455

The list of prime factors of all numbers are

Prime factors of 465 are 3 x 5 x 31

Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

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

Prime factors of 455 are 5 x 7 x 13

The highest common occurrence is 5¹

Therefore, GCD of 465, 640, 660, 455 is 5.

Given numbers are 465, 640, 660, 455

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

Apply this formula for all numbers.

Step1:

LCM(465, 640) = 59520

GCD(465, 640) = ( 465 x 640 ) / 59520

= 465 / 640

= 465

Step2:

LCM(5, 660) = 660

GCD(5, 660) = ( 5 x 660 ) / 660

= 5 / 660

= 5

Step3:

LCM(5, 455) = 455

GCD(5, 455) = ( 5 x 455 ) / 455

= 5 / 455

= 5

So, Greatest Common Divisor of 465, 640, 660, 455 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 849, 722, 129, 845
• GCD of 771, 147, 556, 145
• GCD of 787, 743, 577, 719
• GCD of 950, 952, 793, 539
• GCD of 141, 259, 667, 228

Given numbers are 465, 640, 660, 455
The greatest common divisor of numbers 465, 640, 660, 455 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 465, 640, 660, 455 is 5.

1. What is the GCD of 465, 640, 660, 455?

GCD of given numbers 465, 640, 660, 455 is 5

2. How to calculate the greatest common divisor of 465, 640, 660, 455?

We can find the highest common divisor of 465, 640, 660, 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 465, 640, 660, 455 i.e 5.

3. How can I use the GCD of 465, 640, 660, 455Calculator?

Out the numbers 465, 640, 660, 455 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.