GCD of 429, 516, 900, 878 Calculator

Given Input numbers are 429, 516, 900, 878

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 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 878 :

The positive integer divisors of 878 that completely divides 878 are.

1, 2, 439, 878

GCD of numbers is the greatest common divisor

So, the GCD (429, 516, 900, 878) = 1.

Given numbers are 429, 516, 900, 878

The list of prime factors of all numbers are

Prime factors of 429 are 3 x 11 x 13

Prime factors of 516 are 2 x 2 x 3 x 43

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 878 are 2 x 439

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

Given numbers are 429, 516, 900, 878

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

Apply this formula for all numbers.

Step1:

LCM(429, 516) = 73788

GCD(429, 516) = ( 429 x 516 ) / 73788

= 429 / 516

= 429

Step2:

LCM(3, 900) = 900

GCD(3, 900) = ( 3 x 900 ) / 900

= 3 / 900

= 3

Step3:

LCM(3, 878) = 2634

GCD(3, 878) = ( 3 x 878 ) / 2634

= 3 / 878

= 3

So, Greatest Common Divisor of 429, 516, 900, 878 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 686, 611, 924, 613
• GCD of 425, 730, 487, 883
• GCD of 838, 371, 222, 149
• GCD of 589, 465, 696, 813
• GCD of 833, 763, 168, 390

Given numbers are 429, 516, 900, 878
The greatest common divisor of numbers 429, 516, 900, 878 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 429, 516, 900, 878 is 1.

1. What is the GCD of 429, 516, 900, 878?

GCD of given numbers 429, 516, 900, 878 is 1

2. How to calculate the greatest common divisor of 429, 516, 900, 878?

We can find the highest common divisor of 429, 516, 900, 878 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, 516, 900, 878 i.e 1.

3. How can I use the GCD of 429, 516, 900, 878Calculator?

Out the numbers 429, 516, 900, 878 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.