GCD of 106, 272, 728, 762 Calculator

Given Input numbers are 106, 272, 728, 762

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

Divisors of 106 :

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

1, 2, 53, 106

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

GCD of numbers is the greatest common divisor

So, the GCD (106, 272, 728, 762) = 2.

Given numbers are 106, 272, 728, 762

The list of prime factors of all numbers are

Prime factors of 106 are 2 x 53

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 762 are 2 x 3 x 127

The highest common occurrence is 2¹

Therefore, GCD of 106, 272, 728, 762 is 2.

Given numbers are 106, 272, 728, 762

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

Apply this formula for all numbers.

Step1:

LCM(106, 272) = 14416

GCD(106, 272) = ( 106 x 272 ) / 14416

= 106 / 272

= 106

Step2:

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

= 2 / 728

= 2

Step3:

LCM(2, 762) = 762

GCD(2, 762) = ( 2 x 762 ) / 762

= 2 / 762

= 2

So, Greatest Common Divisor of 106, 272, 728, 762 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 136, 126, 549, 566
• GCD of 719, 734, 700, 262
• GCD of 363, 147, 845, 808
• GCD of 105, 801, 735, 591
• GCD of 756, 365, 722, 763

Given numbers are 106, 272, 728, 762
The greatest common divisor of numbers 106, 272, 728, 762 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 106, 272, 728, 762 is 2.

1. What is the GCD of 106, 272, 728, 762?

GCD of given numbers 106, 272, 728, 762 is 2

2. How to calculate the greatest common divisor of 106, 272, 728, 762?

We can find the highest common divisor of 106, 272, 728, 762 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 106, 272, 728, 762 i.e 2.

3. How can I use the GCD of 106, 272, 728, 762Calculator?

Out the numbers 106, 272, 728, 762 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.