GCD of 117, 361, 314, 797 Calculator

Given Input numbers are 117, 361, 314, 797

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

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 314 :

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

1, 2, 157, 314

Divisors of 797 :

The positive integer divisors of 797 that completely divides 797 are.

1, 797

GCD of numbers is the greatest common divisor

So, the GCD (117, 361, 314, 797) = 1.

Given numbers are 117, 361, 314, 797

The list of prime factors of all numbers are

Prime factors of 117 are 3 x 3 x 13

Prime factors of 361 are 19 x 19

Prime factors of 314 are 2 x 157

Prime factors of 797 are 797

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

Given numbers are 117, 361, 314, 797

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

Apply this formula for all numbers.

Step1:

LCM(117, 361) = 42237

GCD(117, 361) = ( 117 x 361 ) / 42237

= 117 / 361

= 117

Step2:

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

= 1 / 314

= 1

Step3:

LCM(1, 797) = 797

GCD(1, 797) = ( 1 x 797 ) / 797

= 1 / 797

= 1

So, Greatest Common Divisor of 117, 361, 314, 797 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 569, 595, 120, 971
• GCD of 351, 507, 941, 967
• GCD of 882, 552, 256, 378
• GCD of 934, 628, 548, 963
• GCD of 596, 549, 829, 487

Given numbers are 117, 361, 314, 797
The greatest common divisor of numbers 117, 361, 314, 797 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 117, 361, 314, 797 is 1.

1. What is the GCD of 117, 361, 314, 797?

GCD of given numbers 117, 361, 314, 797 is 1

2. How to calculate the greatest common divisor of 117, 361, 314, 797?

We can find the highest common divisor of 117, 361, 314, 797 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 117, 361, 314, 797 i.e 1.

3. How can I use the GCD of 117, 361, 314, 797Calculator?

Out the numbers 117, 361, 314, 797 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.