GCD of 726, 303, 648, 102 Calculator

Given Input numbers are 726, 303, 648, 102

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

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 303 :

The positive integer divisors of 303 that completely divides 303 are.

1, 3, 101, 303

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

GCD of numbers is the greatest common divisor

So, the GCD (726, 303, 648, 102) = 3.

Given numbers are 726, 303, 648, 102

The list of prime factors of all numbers are

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 303 are 3 x 101

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 102 are 2 x 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 726, 303, 648, 102 is 3.

Given numbers are 726, 303, 648, 102

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

Apply this formula for all numbers.

Step1:

LCM(726, 303) = 73326

GCD(726, 303) = ( 726 x 303 ) / 73326

= 726 / 303

= 726

Step2:

LCM(3, 648) = 648

GCD(3, 648) = ( 3 x 648 ) / 648

= 3 / 648

= 3

Step3:

LCM(3, 102) = 102

GCD(3, 102) = ( 3 x 102 ) / 102

= 3 / 102

= 3

So, Greatest Common Divisor of 726, 303, 648, 102 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 446, 681, 265, 649
• GCD of 977, 442, 286, 620
• GCD of 259, 942, 741, 339
• GCD of 995, 398, 757, 561
• GCD of 937, 233, 675, 549

Given numbers are 726, 303, 648, 102
The greatest common divisor of numbers 726, 303, 648, 102 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 303, 648, 102 is 3.

1. What is the GCD of 726, 303, 648, 102?

GCD of given numbers 726, 303, 648, 102 is 3

2. How to calculate the greatest common divisor of 726, 303, 648, 102?

We can find the highest common divisor of 726, 303, 648, 102 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 726, 303, 648, 102 i.e 3.

3. How can I use the GCD of 726, 303, 648, 102Calculator?

Out the numbers 726, 303, 648, 102 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.