GCD of 104, 306, 70, 726 Calculator

Given Input numbers are 104, 306, 70, 726

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

Divisors of 104 :

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

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

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 70 :

The positive integer divisors of 70 that completely divides 70 are.

1, 2, 5, 7, 10, 14, 35, 70

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

GCD of numbers is the greatest common divisor

So, the GCD (104, 306, 70, 726) = 2.

Given numbers are 104, 306, 70, 726

The list of prime factors of all numbers are

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

Prime factors of 306 are 2 x 3 x 3 x 17

Prime factors of 70 are 2 x 5 x 7

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

The highest common occurrence is 2¹

Therefore, GCD of 104, 306, 70, 726 is 2.

Given numbers are 104, 306, 70, 726

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

Apply this formula for all numbers.

Step1:

LCM(104, 306) = 15912

GCD(104, 306) = ( 104 x 306 ) / 15912

= 104 / 306

= 104

Step2:

LCM(2, 70) = 70

GCD(2, 70) = ( 2 x 70 ) / 70

= 2 / 70

= 2

Step3:

LCM(2, 726) = 726

GCD(2, 726) = ( 2 x 726 ) / 726

= 2 / 726

= 2

So, Greatest Common Divisor of 104, 306, 70, 726 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 812, 353, 70, 251
• GCD of 626, 174, 16, 311
• GCD of 669, 940, 26, 748
• GCD of 905, 313, 79, 249
• GCD of 128, 310, 31, 446

Given numbers are 104, 306, 70, 726
The greatest common divisor of numbers 104, 306, 70, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 306, 70, 726 is 2.

1. What is the GCD of 104, 306, 70, 726?

GCD of given numbers 104, 306, 70, 726 is 2

2. How to calculate the greatest common divisor of 104, 306, 70, 726?

We can find the highest common divisor of 104, 306, 70, 726 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 104, 306, 70, 726 i.e 2.

3. How can I use the GCD of 104, 306, 70, 726Calculator?

Out the numbers 104, 306, 70, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.