GCD of 645, 615, 69, 273 Calculator

Given Input numbers are 645, 615, 69, 273

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

Divisors of 645 :

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

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

Divisors of 615 :

The positive integer divisors of 615 that completely divides 615 are.

1, 3, 5, 15, 41, 123, 205, 615

Divisors of 69 :

The positive integer divisors of 69 that completely divides 69 are.

1, 3, 23, 69

Divisors of 273 :

The positive integer divisors of 273 that completely divides 273 are.

1, 3, 7, 13, 21, 39, 91, 273

GCD of numbers is the greatest common divisor

So, the GCD (645, 615, 69, 273) = 3.

Given numbers are 645, 615, 69, 273

The list of prime factors of all numbers are

Prime factors of 645 are 3 x 5 x 43

Prime factors of 615 are 3 x 5 x 41

Prime factors of 69 are 3 x 23

Prime factors of 273 are 3 x 7 x 13

The highest common occurrence is 3¹

Therefore, GCD of 645, 615, 69, 273 is 3.

Given numbers are 645, 615, 69, 273

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

Apply this formula for all numbers.

Step1:

LCM(645, 615) = 26445

GCD(645, 615) = ( 645 x 615 ) / 26445

= 645 / 615

= 645

Step2:

LCM(15, 69) = 345

GCD(15, 69) = ( 15 x 69 ) / 345

= 15 / 69

= 15

Step3:

LCM(3, 273) = 273

GCD(3, 273) = ( 3 x 273 ) / 273

= 3 / 273

= 3

So, Greatest Common Divisor of 645, 615, 69, 273 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 703, 649, 80, 471
• GCD of 172, 595, 30, 695
• GCD of 904, 478, 44, 837
• GCD of 974, 708, 88, 162
• GCD of 178, 970, 17, 281

Given numbers are 645, 615, 69, 273
The greatest common divisor of numbers 645, 615, 69, 273 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 645, 615, 69, 273 is 3.

1. What is the GCD of 645, 615, 69, 273?

GCD of given numbers 645, 615, 69, 273 is 3

2. How to calculate the greatest common divisor of 645, 615, 69, 273?

We can find the highest common divisor of 645, 615, 69, 273 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 645, 615, 69, 273 i.e 3.

3. How can I use the GCD of 645, 615, 69, 273Calculator?

Out the numbers 645, 615, 69, 273 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.