GCD of 108, 435, 342, 745 Calculator

Given Input numbers are 108, 435, 342, 745

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 435 :

The positive integer divisors of 435 that completely divides 435 are.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

GCD of numbers is the greatest common divisor

So, the GCD (108, 435, 342, 745) = 1.

Given numbers are 108, 435, 342, 745

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 435 are 3 x 5 x 29

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 745 are 5 x 149

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

Given numbers are 108, 435, 342, 745

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

Apply this formula for all numbers.

Step1:

LCM(108, 435) = 15660

GCD(108, 435) = ( 108 x 435 ) / 15660

= 108 / 435

= 108

Step2:

LCM(3, 342) = 342

GCD(3, 342) = ( 3 x 342 ) / 342

= 3 / 342

= 3

Step3:

LCM(3, 745) = 2235

GCD(3, 745) = ( 3 x 745 ) / 2235

= 3 / 745

= 3

So, Greatest Common Divisor of 108, 435, 342, 745 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 527, 166, 620, 698
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Given numbers are 108, 435, 342, 745
The greatest common divisor of numbers 108, 435, 342, 745 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 435, 342, 745 is 1.

1. What is the GCD of 108, 435, 342, 745?

GCD of given numbers 108, 435, 342, 745 is 1

2. How to calculate the greatest common divisor of 108, 435, 342, 745?

We can find the highest common divisor of 108, 435, 342, 745 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 108, 435, 342, 745 i.e 1.

3. How can I use the GCD of 108, 435, 342, 745Calculator?

Out the numbers 108, 435, 342, 745 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.