GCD of 428, 553, 727, 829 Calculator

Given Input numbers are 428, 553, 727, 829

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

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 553 :

The positive integer divisors of 553 that completely divides 553 are.

1, 7, 79, 553

Divisors of 727 :

The positive integer divisors of 727 that completely divides 727 are.

1, 727

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

GCD of numbers is the greatest common divisor

So, the GCD (428, 553, 727, 829) = 1.

Given numbers are 428, 553, 727, 829

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 553 are 7 x 79

Prime factors of 727 are 727

Prime factors of 829 are 829

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

Given numbers are 428, 553, 727, 829

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

Apply this formula for all numbers.

Step1:

LCM(428, 553) = 236684

GCD(428, 553) = ( 428 x 553 ) / 236684

= 428 / 553

= 428

Step2:

LCM(1, 727) = 727

GCD(1, 727) = ( 1 x 727 ) / 727

= 1 / 727

= 1

Step3:

LCM(1, 829) = 829

GCD(1, 829) = ( 1 x 829 ) / 829

= 1 / 829

= 1

So, Greatest Common Divisor of 428, 553, 727, 829 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 778, 413, 603, 230
• GCD of 218, 732, 754, 275
• GCD of 164, 181, 653, 418
• GCD of 814, 167, 126, 519
• GCD of 380, 545, 344, 519

Given numbers are 428, 553, 727, 829
The greatest common divisor of numbers 428, 553, 727, 829 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 553, 727, 829 is 1.

1. What is the GCD of 428, 553, 727, 829?

GCD of given numbers 428, 553, 727, 829 is 1

2. How to calculate the greatest common divisor of 428, 553, 727, 829?

We can find the highest common divisor of 428, 553, 727, 829 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 428, 553, 727, 829 i.e 1.

3. How can I use the GCD of 428, 553, 727, 829Calculator?

Out the numbers 428, 553, 727, 829 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.