GCD of 726, 429, 763, 828 Calculator

Given Input numbers are 726, 429, 763, 828

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 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 763 :

The positive integer divisors of 763 that completely divides 763 are.

1, 7, 109, 763

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (726, 429, 763, 828) = 1.

Given numbers are 726, 429, 763, 828

The list of prime factors of all numbers are

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

Prime factors of 429 are 3 x 11 x 13

Prime factors of 763 are 7 x 109

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

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

Given numbers are 726, 429, 763, 828

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

Apply this formula for all numbers.

Step1:

LCM(726, 429) = 9438

GCD(726, 429) = ( 726 x 429 ) / 9438

= 726 / 429

= 726

Step2:

LCM(33, 763) = 25179

GCD(33, 763) = ( 33 x 763 ) / 25179

= 33 / 763

= 33

Step3:

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

= 1 / 828

= 1

So, Greatest Common Divisor of 726, 429, 763, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 808, 558, 689, 450
• GCD of 422, 124, 439, 239
• GCD of 472, 143, 893, 269
• GCD of 834, 536, 749, 328
• GCD of 967, 458, 923, 408

Given numbers are 726, 429, 763, 828
The greatest common divisor of numbers 726, 429, 763, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 429, 763, 828 is 1.

1. What is the GCD of 726, 429, 763, 828?

GCD of given numbers 726, 429, 763, 828 is 1

2. How to calculate the greatest common divisor of 726, 429, 763, 828?

We can find the highest common divisor of 726, 429, 763, 828 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, 429, 763, 828 i.e 1.

3. How can I use the GCD of 726, 429, 763, 828Calculator?

Out the numbers 726, 429, 763, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.