GCD of 645, 189, 704, 340 Calculator

Given Input numbers are 645, 189, 704, 340

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 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

GCD of numbers is the greatest common divisor

So, the GCD (645, 189, 704, 340) = 1.

Given numbers are 645, 189, 704, 340

The list of prime factors of all numbers are

Prime factors of 645 are 3 x 5 x 43

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 340 are 2 x 2 x 5 x 17

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

Given numbers are 645, 189, 704, 340

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

Apply this formula for all numbers.

Step1:

LCM(645, 189) = 40635

GCD(645, 189) = ( 645 x 189 ) / 40635

= 645 / 189

= 645

Step2:

LCM(3, 704) = 2112

GCD(3, 704) = ( 3 x 704 ) / 2112

= 3 / 704

= 3

Step3:

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

= 1 / 340

= 1

So, Greatest Common Divisor of 645, 189, 704, 340 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 237, 535, 591, 787
• GCD of 310, 714, 461, 267
• GCD of 581, 583, 112, 199
• GCD of 521, 427, 639, 112
• GCD of 603, 170, 628, 859

Given numbers are 645, 189, 704, 340
The greatest common divisor of numbers 645, 189, 704, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 645, 189, 704, 340 is 1.

1. What is the GCD of 645, 189, 704, 340?

GCD of given numbers 645, 189, 704, 340 is 1

2. How to calculate the greatest common divisor of 645, 189, 704, 340?

We can find the highest common divisor of 645, 189, 704, 340 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, 189, 704, 340 i.e 1.

3. How can I use the GCD of 645, 189, 704, 340Calculator?

Out the numbers 645, 189, 704, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.