GCD of 117, 345, 706, 145 Calculator

Given Input numbers are 117, 345, 706, 145

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 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

Divisors of 145 :

The positive integer divisors of 145 that completely divides 145 are.

1, 5, 29, 145

GCD of numbers is the greatest common divisor

So, the GCD (117, 345, 706, 145) = 1.

Given numbers are 117, 345, 706, 145

The list of prime factors of all numbers are

Prime factors of 117 are 3 x 3 x 13

Prime factors of 345 are 3 x 5 x 23

Prime factors of 706 are 2 x 353

Prime factors of 145 are 5 x 29

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

Given numbers are 117, 345, 706, 145

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

Apply this formula for all numbers.

Step1:

LCM(117, 345) = 13455

GCD(117, 345) = ( 117 x 345 ) / 13455

= 117 / 345

= 117

Step2:

LCM(3, 706) = 2118

GCD(3, 706) = ( 3 x 706 ) / 2118

= 3 / 706

= 3

Step3:

LCM(1, 145) = 145

GCD(1, 145) = ( 1 x 145 ) / 145

= 1 / 145

= 1

So, Greatest Common Divisor of 117, 345, 706, 145 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 749, 538, 706, 832
• GCD of 375, 323, 108, 688
• GCD of 820, 724, 235, 362
• GCD of 295, 678, 423, 489
• GCD of 875, 764, 908, 144

Given numbers are 117, 345, 706, 145
The greatest common divisor of numbers 117, 345, 706, 145 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 117, 345, 706, 145 is 1.

1. What is the GCD of 117, 345, 706, 145?

GCD of given numbers 117, 345, 706, 145 is 1

2. How to calculate the greatest common divisor of 117, 345, 706, 145?

We can find the highest common divisor of 117, 345, 706, 145 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, 345, 706, 145 i.e 1.

3. How can I use the GCD of 117, 345, 706, 145Calculator?

Out the numbers 117, 345, 706, 145 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.