GCD of 921, 678, 309, 882 Calculator

Given Input numbers are 921, 678, 309, 882

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

Divisors of 921 :

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

1, 3, 307, 921

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

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

GCD of numbers is the greatest common divisor

So, the GCD (921, 678, 309, 882) = 3.

Given numbers are 921, 678, 309, 882

The list of prime factors of all numbers are

Prime factors of 921 are 3 x 307

Prime factors of 678 are 2 x 3 x 113

Prime factors of 309 are 3 x 103

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

The highest common occurrence is 3¹

Therefore, GCD of 921, 678, 309, 882 is 3.

Given numbers are 921, 678, 309, 882

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

Apply this formula for all numbers.

Step1:

LCM(921, 678) = 208146

GCD(921, 678) = ( 921 x 678 ) / 208146

= 921 / 678

= 921

Step2:

LCM(3, 309) = 309

GCD(3, 309) = ( 3 x 309 ) / 309

= 3 / 309

= 3

Step3:

LCM(3, 882) = 882

GCD(3, 882) = ( 3 x 882 ) / 882

= 3 / 882

= 3

So, Greatest Common Divisor of 921, 678, 309, 882 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 228, 970, 948, 846
• GCD of 944, 517, 348, 855
• GCD of 839, 886, 879, 110
• GCD of 969, 705, 341, 837
• GCD of 331, 343, 783, 772

Given numbers are 921, 678, 309, 882
The greatest common divisor of numbers 921, 678, 309, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 921, 678, 309, 882 is 3.

1. What is the GCD of 921, 678, 309, 882?

GCD of given numbers 921, 678, 309, 882 is 3

2. How to calculate the greatest common divisor of 921, 678, 309, 882?

We can find the highest common divisor of 921, 678, 309, 882 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 921, 678, 309, 882 i.e 3.

3. How can I use the GCD of 921, 678, 309, 882Calculator?

Out the numbers 921, 678, 309, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.