GCD of 882, 687, 456, 438 Calculator

Given Input numbers are 882, 687, 456, 438

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 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

GCD of numbers is the greatest common divisor

So, the GCD (882, 687, 456, 438) = 3.

Given numbers are 882, 687, 456, 438

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 687 are 3 x 229

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 438 are 2 x 3 x 73

The highest common occurrence is 3¹

Therefore, GCD of 882, 687, 456, 438 is 3.

Given numbers are 882, 687, 456, 438

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

Apply this formula for all numbers.

Step1:

LCM(882, 687) = 201978

GCD(882, 687) = ( 882 x 687 ) / 201978

= 882 / 687

= 882

Step2:

LCM(3, 456) = 456

GCD(3, 456) = ( 3 x 456 ) / 456

= 3 / 456

= 3

Step3:

LCM(3, 438) = 438

GCD(3, 438) = ( 3 x 438 ) / 438

= 3 / 438

= 3

So, Greatest Common Divisor of 882, 687, 456, 438 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 295, 668, 234, 538
• GCD of 206, 640, 842, 389
• GCD of 880, 837, 218, 764
• GCD of 571, 898, 256, 289
• GCD of 347, 653, 894, 995

Given numbers are 882, 687, 456, 438
The greatest common divisor of numbers 882, 687, 456, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 882, 687, 456, 438 is 3.

1. What is the GCD of 882, 687, 456, 438?

GCD of given numbers 882, 687, 456, 438 is 3

2. How to calculate the greatest common divisor of 882, 687, 456, 438?

We can find the highest common divisor of 882, 687, 456, 438 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, 687, 456, 438 i.e 3.

3. How can I use the GCD of 882, 687, 456, 438Calculator?

Out the numbers 882, 687, 456, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.