GCD of 726, 781, 231, 352 Calculator

Given Input numbers are 726, 781, 231, 352

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 781 :

The positive integer divisors of 781 that completely divides 781 are.

1, 11, 71, 781

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

GCD of numbers is the greatest common divisor

So, the GCD (726, 781, 231, 352) = 11.

Given numbers are 726, 781, 231, 352

The list of prime factors of all numbers are

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

Prime factors of 781 are 11 x 71

Prime factors of 231 are 3 x 7 x 11

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

The highest common occurrence is 11¹

Therefore, GCD of 726, 781, 231, 352 is 11.

Given numbers are 726, 781, 231, 352

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

Apply this formula for all numbers.

Step1:

LCM(726, 781) = 51546

GCD(726, 781) = ( 726 x 781 ) / 51546

= 726 / 781

= 726

Step2:

LCM(11, 231) = 231

GCD(11, 231) = ( 11 x 231 ) / 231

= 11 / 231

= 11

Step3:

LCM(11, 352) = 352

GCD(11, 352) = ( 11 x 352 ) / 352

= 11 / 352

= 11

So, Greatest Common Divisor of 726, 781, 231, 352 is 11

Here are some samples of GCD of Numbers calculations.

• GCD of 154, 260, 153, 776
• GCD of 493, 616, 789, 130
• GCD of 980, 495, 681, 734
• GCD of 202, 986, 364, 112
• GCD of 979, 897, 503, 143

Given numbers are 726, 781, 231, 352
The greatest common divisor of numbers 726, 781, 231, 352 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 781, 231, 352 is 11.

1. What is the GCD of 726, 781, 231, 352?

GCD of given numbers 726, 781, 231, 352 is 11

2. How to calculate the greatest common divisor of 726, 781, 231, 352?

We can find the highest common divisor of 726, 781, 231, 352 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, 781, 231, 352 i.e 11.

3. How can I use the GCD of 726, 781, 231, 352Calculator?

Out the numbers 726, 781, 231, 352 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.