GCD of 645, 289, 343, 378 Calculator

Given Input numbers are 645, 289, 343, 378

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 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

GCD of numbers is the greatest common divisor

So, the GCD (645, 289, 343, 378) = 1.

Given numbers are 645, 289, 343, 378

The list of prime factors of all numbers are

Prime factors of 645 are 3 x 5 x 43

Prime factors of 289 are 17 x 17

Prime factors of 343 are 7 x 7 x 7

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

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

Given numbers are 645, 289, 343, 378

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

Apply this formula for all numbers.

Step1:

LCM(645, 289) = 186405

GCD(645, 289) = ( 645 x 289 ) / 186405

= 645 / 289

= 645

Step2:

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

= 1 / 343

= 1

Step3:

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

= 1 / 378

= 1

So, Greatest Common Divisor of 645, 289, 343, 378 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 397, 791, 169, 592
• GCD of 737, 905, 495, 148
• GCD of 331, 382, 230, 269
• GCD of 875, 848, 339, 552
• GCD of 381, 172, 182, 820

Given numbers are 645, 289, 343, 378
The greatest common divisor of numbers 645, 289, 343, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 645, 289, 343, 378 is 1.

1. What is the GCD of 645, 289, 343, 378?

GCD of given numbers 645, 289, 343, 378 is 1

2. How to calculate the greatest common divisor of 645, 289, 343, 378?

We can find the highest common divisor of 645, 289, 343, 378 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, 289, 343, 378 i.e 1.

3. How can I use the GCD of 645, 289, 343, 378Calculator?

Out the numbers 645, 289, 343, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.