GCD of 460, 598, 792, 117 Calculator

Given Input numbers are 460, 598, 792, 117

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

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 598 :

The positive integer divisors of 598 that completely divides 598 are.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 117 :

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

1, 3, 9, 13, 39, 117

GCD of numbers is the greatest common divisor

So, the GCD (460, 598, 792, 117) = 1.

Given numbers are 460, 598, 792, 117

The list of prime factors of all numbers are

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 598 are 2 x 13 x 23

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 117 are 3 x 3 x 13

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

Given numbers are 460, 598, 792, 117

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

Apply this formula for all numbers.

Step1:

LCM(460, 598) = 5980

GCD(460, 598) = ( 460 x 598 ) / 5980

= 460 / 598

= 460

Step2:

LCM(46, 792) = 18216

GCD(46, 792) = ( 46 x 792 ) / 18216

= 46 / 792

= 46

Step3:

LCM(2, 117) = 234

GCD(2, 117) = ( 2 x 117 ) / 234

= 2 / 117

= 2

So, Greatest Common Divisor of 460, 598, 792, 117 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 419, 164, 438, 160
• GCD of 154, 652, 256, 446
• GCD of 982, 698, 776, 698
• GCD of 647, 965, 517, 784
• GCD of 182, 144, 578, 722

Given numbers are 460, 598, 792, 117
The greatest common divisor of numbers 460, 598, 792, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 598, 792, 117 is 1.

1. What is the GCD of 460, 598, 792, 117?

GCD of given numbers 460, 598, 792, 117 is 1

2. How to calculate the greatest common divisor of 460, 598, 792, 117?

We can find the highest common divisor of 460, 598, 792, 117 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 460, 598, 792, 117 i.e 1.

3. How can I use the GCD of 460, 598, 792, 117Calculator?

Out the numbers 460, 598, 792, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.