GCD of 114, 704, 11, 307 Calculator

Given Input numbers are 114, 704, 11, 307

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 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 11 :

The positive integer divisors of 11 that completely divides 11 are.

1, 11

Divisors of 307 :

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

1, 307

GCD of numbers is the greatest common divisor

So, the GCD (114, 704, 11, 307) = 1.

Given numbers are 114, 704, 11, 307

The list of prime factors of all numbers are

Prime factors of 114 are 2 x 3 x 19

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

Prime factors of 11 are 11

Prime factors of 307 are 307

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

Given numbers are 114, 704, 11, 307

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

Apply this formula for all numbers.

Step1:

LCM(114, 704) = 40128

GCD(114, 704) = ( 114 x 704 ) / 40128

= 114 / 704

= 114

Step2:

LCM(2, 11) = 22

GCD(2, 11) = ( 2 x 11 ) / 22

= 2 / 11

= 2

Step3:

LCM(1, 307) = 307

GCD(1, 307) = ( 1 x 307 ) / 307

= 1 / 307

= 1

So, Greatest Common Divisor of 114, 704, 11, 307 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 228, 272, 88, 759
• GCD of 720, 600, 77, 562
• GCD of 986, 915, 66, 316
• GCD of 440, 681, 64, 557
• GCD of 160, 842, 20, 250

Given numbers are 114, 704, 11, 307
The greatest common divisor of numbers 114, 704, 11, 307 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 114, 704, 11, 307 is 1.

1. What is the GCD of 114, 704, 11, 307?

GCD of given numbers 114, 704, 11, 307 is 1

2. How to calculate the greatest common divisor of 114, 704, 11, 307?

We can find the highest common divisor of 114, 704, 11, 307 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, 704, 11, 307 i.e 1.

3. How can I use the GCD of 114, 704, 11, 307Calculator?

Out the numbers 114, 704, 11, 307 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.