GCD of 882, 429, 480, 921 Calculator

Given Input numbers are 882, 429, 480, 921

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

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 429 :

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

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

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

GCD of numbers is the greatest common divisor

So, the GCD (882, 429, 480, 921) = 3.

Given numbers are 882, 429, 480, 921

The list of prime factors of all numbers are

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

Prime factors of 429 are 3 x 11 x 13

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 921 are 3 x 307

The highest common occurrence is 3¹

Therefore, GCD of 882, 429, 480, 921 is 3.

Given numbers are 882, 429, 480, 921

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

Apply this formula for all numbers.

Step1:

LCM(882, 429) = 126126

GCD(882, 429) = ( 882 x 429 ) / 126126

= 882 / 429

= 882

Step2:

LCM(3, 480) = 480

GCD(3, 480) = ( 3 x 480 ) / 480

= 3 / 480

= 3

Step3:

LCM(3, 921) = 921

GCD(3, 921) = ( 3 x 921 ) / 921

= 3 / 921

= 3

So, Greatest Common Divisor of 882, 429, 480, 921 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 163, 209, 267, 838
• GCD of 522, 872, 191, 401
• GCD of 771, 526, 920, 738
• GCD of 446, 411, 410, 429
• GCD of 235, 393, 527, 664

Given numbers are 882, 429, 480, 921
The greatest common divisor of numbers 882, 429, 480, 921 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 882, 429, 480, 921 is 3.

1. What is the GCD of 882, 429, 480, 921?

GCD of given numbers 882, 429, 480, 921 is 3

2. How to calculate the greatest common divisor of 882, 429, 480, 921?

We can find the highest common divisor of 882, 429, 480, 921 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 882, 429, 480, 921 i.e 3.

3. How can I use the GCD of 882, 429, 480, 921Calculator?

Out the numbers 882, 429, 480, 921 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.