GCD of 984, 298, 364, 112 Calculator

Given Input numbers are 984, 298, 364, 112

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 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

GCD of numbers is the greatest common divisor

So, the GCD (984, 298, 364, 112) = 2.

Given numbers are 984, 298, 364, 112

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 298 are 2 x 149

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

The highest common occurrence is 2¹

Therefore, GCD of 984, 298, 364, 112 is 2.

Given numbers are 984, 298, 364, 112

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

Apply this formula for all numbers.

Step1:

LCM(984, 298) = 146616

GCD(984, 298) = ( 984 x 298 ) / 146616

= 984 / 298

= 984

Step2:

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

= 2 / 364

= 2

Step3:

LCM(2, 112) = 112

GCD(2, 112) = ( 2 x 112 ) / 112

= 2 / 112

= 2

So, Greatest Common Divisor of 984, 298, 364, 112 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 370, 469, 994, 765
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• GCD of 434, 340, 809, 623
• GCD of 281, 319, 727, 557
• GCD of 391, 949, 787, 117

Given numbers are 984, 298, 364, 112
The greatest common divisor of numbers 984, 298, 364, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 298, 364, 112 is 2.

1. What is the GCD of 984, 298, 364, 112?

GCD of given numbers 984, 298, 364, 112 is 2

2. How to calculate the greatest common divisor of 984, 298, 364, 112?

We can find the highest common divisor of 984, 298, 364, 112 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, 298, 364, 112 i.e 2.

3. How can I use the GCD of 984, 298, 364, 112Calculator?

Out the numbers 984, 298, 364, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.