GCD of 114, 921, 307, 720 Calculator

Given Input numbers are 114, 921, 307, 720

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

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 307 :

The positive integer divisors of 307 that completely divides 307 are.

1, 307

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

GCD of numbers is the greatest common divisor

So, the GCD (114, 921, 307, 720) = 1.

Given numbers are 114, 921, 307, 720

The list of prime factors of all numbers are

Prime factors of 114 are 2 x 3 x 19

Prime factors of 921 are 3 x 307

Prime factors of 307 are 307

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

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

Given numbers are 114, 921, 307, 720

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

Apply this formula for all numbers.

Step1:

LCM(114, 921) = 34998

GCD(114, 921) = ( 114 x 921 ) / 34998

= 114 / 921

= 114

Step2:

LCM(3, 307) = 921

GCD(3, 307) = ( 3 x 307 ) / 921

= 3 / 307

= 3

Step3:

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

= 1 / 720

= 1

So, Greatest Common Divisor of 114, 921, 307, 720 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 820, 899, 991, 266
• GCD of 551, 746, 853, 103
• GCD of 520, 386, 652, 676
• GCD of 651, 319, 420, 218
• GCD of 493, 495, 824, 999

Given numbers are 114, 921, 307, 720
The greatest common divisor of numbers 114, 921, 307, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 114, 921, 307, 720 is 1.

1. What is the GCD of 114, 921, 307, 720?

GCD of given numbers 114, 921, 307, 720 is 1

2. How to calculate the greatest common divisor of 114, 921, 307, 720?

We can find the highest common divisor of 114, 921, 307, 720 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 114, 921, 307, 720 i.e 1.

3. How can I use the GCD of 114, 921, 307, 720Calculator?

Out the numbers 114, 921, 307, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.