GCD of 117, 471, 102, 823 Calculator

Given Input numbers are 117, 471, 102, 823

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 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 823 :

The positive integer divisors of 823 that completely divides 823 are.

1, 823

GCD of numbers is the greatest common divisor

So, the GCD (117, 471, 102, 823) = 1.

Given numbers are 117, 471, 102, 823

The list of prime factors of all numbers are

Prime factors of 117 are 3 x 3 x 13

Prime factors of 471 are 3 x 157

Prime factors of 102 are 2 x 3 x 17

Prime factors of 823 are 823

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

Given numbers are 117, 471, 102, 823

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

Apply this formula for all numbers.

Step1:

LCM(117, 471) = 18369

GCD(117, 471) = ( 117 x 471 ) / 18369

= 117 / 471

= 117

Step2:

LCM(3, 102) = 102

GCD(3, 102) = ( 3 x 102 ) / 102

= 3 / 102

= 3

Step3:

LCM(3, 823) = 2469

GCD(3, 823) = ( 3 x 823 ) / 2469

= 3 / 823

= 3

So, Greatest Common Divisor of 117, 471, 102, 823 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 104, 936, 665, 339
• GCD of 447, 849, 220, 978
• GCD of 183, 507, 774, 866
• GCD of 765, 365, 791, 304
• GCD of 487, 379, 644, 190

Given numbers are 117, 471, 102, 823
The greatest common divisor of numbers 117, 471, 102, 823 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 117, 471, 102, 823 is 1.

1. What is the GCD of 117, 471, 102, 823?

GCD of given numbers 117, 471, 102, 823 is 1

2. How to calculate the greatest common divisor of 117, 471, 102, 823?

We can find the highest common divisor of 117, 471, 102, 823 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, 471, 102, 823 i.e 1.

3. How can I use the GCD of 117, 471, 102, 823Calculator?

Out the numbers 117, 471, 102, 823 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.