GCD of 614, 767, 120, 723 Calculator

Given Input numbers are 614, 767, 120, 723

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

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 767 :

The positive integer divisors of 767 that completely divides 767 are.

1, 13, 59, 767

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

GCD of numbers is the greatest common divisor

So, the GCD (614, 767, 120, 723) = 1.

Given numbers are 614, 767, 120, 723

The list of prime factors of all numbers are

Prime factors of 614 are 2 x 307

Prime factors of 767 are 13 x 59

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 723 are 3 x 241

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

Given numbers are 614, 767, 120, 723

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

Apply this formula for all numbers.

Step1:

LCM(614, 767) = 470938

GCD(614, 767) = ( 614 x 767 ) / 470938

= 614 / 767

= 614

Step2:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1

Step3:

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

= 1 / 723

= 1

So, Greatest Common Divisor of 614, 767, 120, 723 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 184, 894, 646, 480
• GCD of 689, 748, 185, 487
• GCD of 343, 752, 970, 224
• GCD of 151, 361, 572, 749
• GCD of 961, 944, 385, 193

Given numbers are 614, 767, 120, 723
The greatest common divisor of numbers 614, 767, 120, 723 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 614, 767, 120, 723 is 1.

1. What is the GCD of 614, 767, 120, 723?

GCD of given numbers 614, 767, 120, 723 is 1

2. How to calculate the greatest common divisor of 614, 767, 120, 723?

We can find the highest common divisor of 614, 767, 120, 723 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 614, 767, 120, 723 i.e 1.

3. How can I use the GCD of 614, 767, 120, 723Calculator?

Out the numbers 614, 767, 120, 723 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.