GCD of 749, 205, 104, 162 Calculator

Given Input numbers are 749, 205, 104, 162

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

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 205 :

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

1, 5, 41, 205

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

GCD of numbers is the greatest common divisor

So, the GCD (749, 205, 104, 162) = 1.

Given numbers are 749, 205, 104, 162

The list of prime factors of all numbers are

Prime factors of 749 are 7 x 107

Prime factors of 205 are 5 x 41

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

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

Given numbers are 749, 205, 104, 162

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

Apply this formula for all numbers.

Step1:

LCM(749, 205) = 153545

GCD(749, 205) = ( 749 x 205 ) / 153545

= 749 / 205

= 749

Step2:

LCM(1, 104) = 104

GCD(1, 104) = ( 1 x 104 ) / 104

= 1 / 104

= 1

Step3:

LCM(1, 162) = 162

GCD(1, 162) = ( 1 x 162 ) / 162

= 1 / 162

= 1

So, Greatest Common Divisor of 749, 205, 104, 162 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 277, 200, 383, 587
• GCD of 561, 289, 927, 123
• GCD of 469, 156, 450, 628
• GCD of 798, 990, 806, 975
• GCD of 666, 651, 289, 414

Given numbers are 749, 205, 104, 162
The greatest common divisor of numbers 749, 205, 104, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 205, 104, 162 is 1.

1. What is the GCD of 749, 205, 104, 162?

GCD of given numbers 749, 205, 104, 162 is 1

2. How to calculate the greatest common divisor of 749, 205, 104, 162?

We can find the highest common divisor of 749, 205, 104, 162 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 749, 205, 104, 162 i.e 1.

3. How can I use the GCD of 749, 205, 104, 162Calculator?

Out the numbers 749, 205, 104, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.