GCD of 495, 354, 390, 645 Calculator

Given Input numbers are 495, 354, 390, 645

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

Divisors of 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

GCD of numbers is the greatest common divisor

So, the GCD (495, 354, 390, 645) = 3.

Given numbers are 495, 354, 390, 645

The list of prime factors of all numbers are

Prime factors of 495 are 3 x 3 x 5 x 11

Prime factors of 354 are 2 x 3 x 59

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 645 are 3 x 5 x 43

The highest common occurrence is 3¹

Therefore, GCD of 495, 354, 390, 645 is 3.

Given numbers are 495, 354, 390, 645

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

Apply this formula for all numbers.

Step1:

LCM(495, 354) = 58410

GCD(495, 354) = ( 495 x 354 ) / 58410

= 495 / 354

= 495

Step2:

LCM(3, 390) = 390

GCD(3, 390) = ( 3 x 390 ) / 390

= 3 / 390

= 3

Step3:

LCM(3, 645) = 645

GCD(3, 645) = ( 3 x 645 ) / 645

= 3 / 645

= 3

So, Greatest Common Divisor of 495, 354, 390, 645 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 701, 884, 925, 534
• GCD of 543, 220, 604, 560
• GCD of 219, 189, 969, 397
• GCD of 241, 775, 356, 746
• GCD of 479, 794, 207, 478

Given numbers are 495, 354, 390, 645
The greatest common divisor of numbers 495, 354, 390, 645 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 495, 354, 390, 645 is 3.

1. What is the GCD of 495, 354, 390, 645?

GCD of given numbers 495, 354, 390, 645 is 3

2. How to calculate the greatest common divisor of 495, 354, 390, 645?

We can find the highest common divisor of 495, 354, 390, 645 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 495, 354, 390, 645 i.e 3.

3. How can I use the GCD of 495, 354, 390, 645Calculator?

Out the numbers 495, 354, 390, 645 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.