GCD of 748, 706, 955, 106 Calculator

Given Input numbers are 748, 706, 955, 106

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

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 706 :

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

1, 2, 353, 706

Divisors of 955 :

The positive integer divisors of 955 that completely divides 955 are.

1, 5, 191, 955

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

GCD of numbers is the greatest common divisor

So, the GCD (748, 706, 955, 106) = 1.

Given numbers are 748, 706, 955, 106

The list of prime factors of all numbers are

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 706 are 2 x 353

Prime factors of 955 are 5 x 191

Prime factors of 106 are 2 x 53

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

Given numbers are 748, 706, 955, 106

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

Apply this formula for all numbers.

Step1:

LCM(748, 706) = 264044

GCD(748, 706) = ( 748 x 706 ) / 264044

= 748 / 706

= 748

Step2:

LCM(2, 955) = 1910

GCD(2, 955) = ( 2 x 955 ) / 1910

= 2 / 955

= 2

Step3:

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

= 1 / 106

= 1

So, Greatest Common Divisor of 748, 706, 955, 106 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 286, 772, 412, 198
• GCD of 566, 217, 800, 387
• GCD of 512, 702, 147, 834
• GCD of 949, 317, 111, 500
• GCD of 872, 997, 323, 488

Given numbers are 748, 706, 955, 106
The greatest common divisor of numbers 748, 706, 955, 106 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 706, 955, 106 is 1.

1. What is the GCD of 748, 706, 955, 106?

GCD of given numbers 748, 706, 955, 106 is 1

2. How to calculate the greatest common divisor of 748, 706, 955, 106?

We can find the highest common divisor of 748, 706, 955, 106 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 748, 706, 955, 106 i.e 1.

3. How can I use the GCD of 748, 706, 955, 106Calculator?

Out the numbers 748, 706, 955, 106 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.