GCD of 801, 828, 768, 429 Calculator

Given Input numbers are 801, 828, 768, 429

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

Divisors of 801 :

The positive integer divisors of 801 that completely divides 801 are.

1, 3, 9, 89, 267, 801

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

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 429 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (801, 828, 768, 429) = 3.

Given numbers are 801, 828, 768, 429

The list of prime factors of all numbers are

Prime factors of 801 are 3 x 3 x 89

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

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 429 are 3 x 11 x 13

The highest common occurrence is 3¹

Therefore, GCD of 801, 828, 768, 429 is 3.

Given numbers are 801, 828, 768, 429

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

Apply this formula for all numbers.

Step1:

LCM(801, 828) = 73692

GCD(801, 828) = ( 801 x 828 ) / 73692

= 801 / 828

= 801

Step2:

LCM(9, 768) = 2304

GCD(9, 768) = ( 9 x 768 ) / 2304

= 9 / 768

= 9

Step3:

LCM(3, 429) = 429

GCD(3, 429) = ( 3 x 429 ) / 429

= 3 / 429

= 3

So, Greatest Common Divisor of 801, 828, 768, 429 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 862, 487, 207, 401
• GCD of 835, 210, 185, 292
• GCD of 261, 993, 414, 594
• GCD of 411, 485, 785, 783
• GCD of 935, 987, 124, 443

Given numbers are 801, 828, 768, 429
The greatest common divisor of numbers 801, 828, 768, 429 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 801, 828, 768, 429 is 3.

1. What is the GCD of 801, 828, 768, 429?

GCD of given numbers 801, 828, 768, 429 is 3

2. How to calculate the greatest common divisor of 801, 828, 768, 429?

We can find the highest common divisor of 801, 828, 768, 429 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 801, 828, 768, 429 i.e 3.

3. How can I use the GCD of 801, 828, 768, 429Calculator?

Out the numbers 801, 828, 768, 429 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.