GCD of 828, 414, 759 Calculator

Given Input numbers are 828, 414, 759

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

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 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

GCD of numbers is the greatest common divisor

So, the GCD (828, 414, 759) = 69.

Given numbers are 828, 414, 759

The list of prime factors of all numbers are

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

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 759 are 3 x 11 x 23

The highest common occurrence is 23¹ x 3¹

Therefore, GCD of 828, 414, 759 is 69.

Given numbers are 828, 414, 759

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

Apply this formula for all numbers.

Step1:

LCM(828, 414) = 828

GCD(828, 414) = ( 828 x 414 ) / 828

= 828 / 414

= 828

Step2:

LCM(414, 759) = 4554

GCD(414, 759) = ( 414 x 759 ) / 4554

= 414 / 759

= 414

So, Greatest Common Divisor of 828, 414, 759 is 69

Here are some samples of GCD of Numbers calculations.

• GCD of 121, 157, 861
• GCD of 556, 587, 269
• GCD of 423, 433, 798
• GCD of 524, 164, 349
• GCD of 141, 417, 158

Given numbers are 828, 414, 759
The greatest common divisor of numbers 828, 414, 759 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 414, 759 is 69.

1. What is the GCD of 828, 414, 759?

GCD of given numbers 828, 414, 759 is 69

2. How to calculate the greatest common divisor of 828, 414, 759?

We can find the highest common divisor of 828, 414, 759 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 828, 414, 759 i.e 69.

3. How can I use the GCD of 828, 414, 759Calculator?

Out the numbers 828, 414, 759 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.