GCD of 314, 767, 24, 721 Calculator

Given Input numbers are 314, 767, 24, 721

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

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 767 :

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

1, 13, 59, 767

Divisors of 24 :

The positive integer divisors of 24 that completely divides 24 are.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

GCD of numbers is the greatest common divisor

So, the GCD (314, 767, 24, 721) = 1.

Given numbers are 314, 767, 24, 721

The list of prime factors of all numbers are

Prime factors of 314 are 2 x 157

Prime factors of 767 are 13 x 59

Prime factors of 24 are 2 x 2 x 2 x 3

Prime factors of 721 are 7 x 103

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

Given numbers are 314, 767, 24, 721

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

Apply this formula for all numbers.

Step1:

LCM(314, 767) = 240838

GCD(314, 767) = ( 314 x 767 ) / 240838

= 314 / 767

= 314

Step2:

LCM(1, 24) = 24

GCD(1, 24) = ( 1 x 24 ) / 24

= 1 / 24

= 1

Step3:

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

= 1 / 721

= 1

So, Greatest Common Divisor of 314, 767, 24, 721 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 994, 308, 25, 744
• GCD of 534, 977, 87, 484
• GCD of 603, 181, 21, 164
• GCD of 555, 209, 34, 875
• GCD of 381, 338, 44, 815

Given numbers are 314, 767, 24, 721
The greatest common divisor of numbers 314, 767, 24, 721 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 314, 767, 24, 721 is 1.

1. What is the GCD of 314, 767, 24, 721?

GCD of given numbers 314, 767, 24, 721 is 1

2. How to calculate the greatest common divisor of 314, 767, 24, 721?

We can find the highest common divisor of 314, 767, 24, 721 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 314, 767, 24, 721 i.e 1.

3. How can I use the GCD of 314, 767, 24, 721Calculator?

Out the numbers 314, 767, 24, 721 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.