GCD of 734, 100, 558, 345 Calculator

Given Input numbers are 734, 100, 558, 345

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

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 345 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (734, 100, 558, 345) = 1.

Given numbers are 734, 100, 558, 345

The list of prime factors of all numbers are

Prime factors of 734 are 2 x 367

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 558 are 2 x 3 x 3 x 31

Prime factors of 345 are 3 x 5 x 23

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

Given numbers are 734, 100, 558, 345

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

Apply this formula for all numbers.

Step1:

LCM(734, 100) = 36700

GCD(734, 100) = ( 734 x 100 ) / 36700

= 734 / 100

= 734

Step2:

LCM(2, 558) = 558

GCD(2, 558) = ( 2 x 558 ) / 558

= 2 / 558

= 2

Step3:

LCM(2, 345) = 690

GCD(2, 345) = ( 2 x 345 ) / 690

= 2 / 345

= 2

So, Greatest Common Divisor of 734, 100, 558, 345 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 348, 796, 686, 509
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Given numbers are 734, 100, 558, 345
The greatest common divisor of numbers 734, 100, 558, 345 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 734, 100, 558, 345 is 1.

1. What is the GCD of 734, 100, 558, 345?

GCD of given numbers 734, 100, 558, 345 is 1

2. How to calculate the greatest common divisor of 734, 100, 558, 345?

We can find the highest common divisor of 734, 100, 558, 345 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 734, 100, 558, 345 i.e 1.

3. How can I use the GCD of 734, 100, 558, 345Calculator?

Out the numbers 734, 100, 558, 345 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.