GCD of 984, 460, 142, 382 Calculator

Given Input numbers are 984, 460, 142, 382

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 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

GCD of numbers is the greatest common divisor

So, the GCD (984, 460, 142, 382) = 2.

Given numbers are 984, 460, 142, 382

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 460 are 2 x 2 x 5 x 23

Prime factors of 142 are 2 x 71

Prime factors of 382 are 2 x 191

The highest common occurrence is 2¹

Therefore, GCD of 984, 460, 142, 382 is 2.

Given numbers are 984, 460, 142, 382

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

Apply this formula for all numbers.

Step1:

LCM(984, 460) = 113160

GCD(984, 460) = ( 984 x 460 ) / 113160

= 984 / 460

= 984

Step2:

LCM(4, 142) = 284

GCD(4, 142) = ( 4 x 142 ) / 284

= 4 / 142

= 4

Step3:

LCM(2, 382) = 382

GCD(2, 382) = ( 2 x 382 ) / 382

= 2 / 382

= 2

So, Greatest Common Divisor of 984, 460, 142, 382 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 487, 596, 904, 442
• GCD of 671, 544, 557, 507
• GCD of 543, 114, 801, 650
• GCD of 696, 567, 958, 322
• GCD of 875, 838, 492, 150

Given numbers are 984, 460, 142, 382
The greatest common divisor of numbers 984, 460, 142, 382 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 460, 142, 382 is 2.

1. What is the GCD of 984, 460, 142, 382?

GCD of given numbers 984, 460, 142, 382 is 2

2. How to calculate the greatest common divisor of 984, 460, 142, 382?

We can find the highest common divisor of 984, 460, 142, 382 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, 460, 142, 382 i.e 2.

3. How can I use the GCD of 984, 460, 142, 382Calculator?

Out the numbers 984, 460, 142, 382 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.