GCD of 984, 381, 351, 840 Calculator

Given Input numbers are 984, 381, 351, 840

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

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

GCD of numbers is the greatest common divisor

So, the GCD (984, 381, 351, 840) = 3.

Given numbers are 984, 381, 351, 840

The list of prime factors of all numbers are

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 381 are 3 x 127

Prime factors of 351 are 3 x 3 x 3 x 13

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

The highest common occurrence is 3¹

Therefore, GCD of 984, 381, 351, 840 is 3.

Given numbers are 984, 381, 351, 840

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

Apply this formula for all numbers.

Step1:

LCM(984, 381) = 124968

GCD(984, 381) = ( 984 x 381 ) / 124968

= 984 / 381

= 984

Step2:

LCM(3, 351) = 351

GCD(3, 351) = ( 3 x 351 ) / 351

= 3 / 351

= 3

Step3:

LCM(3, 840) = 840

GCD(3, 840) = ( 3 x 840 ) / 840

= 3 / 840

= 3

So, Greatest Common Divisor of 984, 381, 351, 840 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 824, 381, 965, 921
• GCD of 497, 232, 940, 386
• GCD of 388, 142, 324, 467
• GCD of 438, 537, 557, 945
• GCD of 417, 397, 986, 221

Given numbers are 984, 381, 351, 840
The greatest common divisor of numbers 984, 381, 351, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 381, 351, 840 is 3.

1. What is the GCD of 984, 381, 351, 840?

GCD of given numbers 984, 381, 351, 840 is 3

2. How to calculate the greatest common divisor of 984, 381, 351, 840?

We can find the highest common divisor of 984, 381, 351, 840 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 984, 381, 351, 840 i.e 3.

3. How can I use the GCD of 984, 381, 351, 840Calculator?

Out the numbers 984, 381, 351, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.