GCD of 340, 321, 144, 714 Calculator

Given Input numbers are 340, 321, 144, 714

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

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

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

GCD of numbers is the greatest common divisor

So, the GCD (340, 321, 144, 714) = 1.

Given numbers are 340, 321, 144, 714

The list of prime factors of all numbers are

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

Prime factors of 321 are 3 x 107

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 714 are 2 x 3 x 7 x 17

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

Given numbers are 340, 321, 144, 714

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

Apply this formula for all numbers.

Step1:

LCM(340, 321) = 109140

GCD(340, 321) = ( 340 x 321 ) / 109140

= 340 / 321

= 340

Step2:

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

= 1 / 144

= 1

Step3:

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

= 1 / 714

= 1

So, Greatest Common Divisor of 340, 321, 144, 714 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 314, 801, 761, 626
• GCD of 418, 723, 952, 753
• GCD of 785, 393, 853, 934
• GCD of 695, 263, 763, 450
• GCD of 314, 508, 356, 726

Given numbers are 340, 321, 144, 714
The greatest common divisor of numbers 340, 321, 144, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 340, 321, 144, 714 is 1.

1. What is the GCD of 340, 321, 144, 714?

GCD of given numbers 340, 321, 144, 714 is 1

2. How to calculate the greatest common divisor of 340, 321, 144, 714?

We can find the highest common divisor of 340, 321, 144, 714 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 340, 321, 144, 714 i.e 1.

3. How can I use the GCD of 340, 321, 144, 714Calculator?

Out the numbers 340, 321, 144, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.