GCD of 429, 756, 891, 387 Calculator

Given Input numbers are 429, 756, 891, 387

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

Divisors of 429 :

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

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

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 891 :

The positive integer divisors of 891 that completely divides 891 are.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

GCD of numbers is the greatest common divisor

So, the GCD (429, 756, 891, 387) = 3.

Given numbers are 429, 756, 891, 387

The list of prime factors of all numbers are

Prime factors of 429 are 3 x 11 x 13

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 891 are 3 x 3 x 3 x 3 x 11

Prime factors of 387 are 3 x 3 x 43

The highest common occurrence is 3¹

Therefore, GCD of 429, 756, 891, 387 is 3.

Given numbers are 429, 756, 891, 387

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

Apply this formula for all numbers.

Step1:

LCM(429, 756) = 108108

GCD(429, 756) = ( 429 x 756 ) / 108108

= 429 / 756

= 429

Step2:

LCM(3, 891) = 891

GCD(3, 891) = ( 3 x 891 ) / 891

= 3 / 891

= 3

Step3:

LCM(3, 387) = 387

GCD(3, 387) = ( 3 x 387 ) / 387

= 3 / 387

= 3

So, Greatest Common Divisor of 429, 756, 891, 387 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 273, 478, 678, 255
• GCD of 420, 223, 901, 668
• GCD of 470, 742, 328, 864
• GCD of 413, 650, 602, 531
• GCD of 215, 281, 354, 572

Given numbers are 429, 756, 891, 387
The greatest common divisor of numbers 429, 756, 891, 387 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 429, 756, 891, 387 is 3.

1. What is the GCD of 429, 756, 891, 387?

GCD of given numbers 429, 756, 891, 387 is 3

2. How to calculate the greatest common divisor of 429, 756, 891, 387?

We can find the highest common divisor of 429, 756, 891, 387 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 429, 756, 891, 387 i.e 3.

3. How can I use the GCD of 429, 756, 891, 387Calculator?

Out the numbers 429, 756, 891, 387 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.