GCD of 742, 347, 205, 918 Calculator

Given Input numbers are 742, 347, 205, 918

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 347 :

The positive integer divisors of 347 that completely divides 347 are.

1, 347

Divisors of 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

GCD of numbers is the greatest common divisor

So, the GCD (742, 347, 205, 918) = 1.

Given numbers are 742, 347, 205, 918

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 347 are 347

Prime factors of 205 are 5 x 41

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

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

Given numbers are 742, 347, 205, 918

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

Apply this formula for all numbers.

Step1:

LCM(742, 347) = 257474

GCD(742, 347) = ( 742 x 347 ) / 257474

= 742 / 347

= 742

Step2:

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

= 1 / 205

= 1

Step3:

LCM(1, 918) = 918

GCD(1, 918) = ( 1 x 918 ) / 918

= 1 / 918

= 1

So, Greatest Common Divisor of 742, 347, 205, 918 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 901, 679, 467, 617
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Given numbers are 742, 347, 205, 918
The greatest common divisor of numbers 742, 347, 205, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 347, 205, 918 is 1.

1. What is the GCD of 742, 347, 205, 918?

GCD of given numbers 742, 347, 205, 918 is 1

2. How to calculate the greatest common divisor of 742, 347, 205, 918?

We can find the highest common divisor of 742, 347, 205, 918 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 742, 347, 205, 918 i.e 1.

3. How can I use the GCD of 742, 347, 205, 918Calculator?

Out the numbers 742, 347, 205, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.