GCD of 900, 960, 398, 182 Calculator

Given Input numbers are 900, 960, 398, 182

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

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

GCD of numbers is the greatest common divisor

So, the GCD (900, 960, 398, 182) = 2.

Given numbers are 900, 960, 398, 182

The list of prime factors of all numbers are

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 398 are 2 x 199

Prime factors of 182 are 2 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 900, 960, 398, 182 is 2.

Given numbers are 900, 960, 398, 182

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

Apply this formula for all numbers.

Step1:

LCM(900, 960) = 14400

GCD(900, 960) = ( 900 x 960 ) / 14400

= 900 / 960

= 900

Step2:

LCM(60, 398) = 11940

GCD(60, 398) = ( 60 x 398 ) / 11940

= 60 / 398

= 60

Step3:

LCM(2, 182) = 182

GCD(2, 182) = ( 2 x 182 ) / 182

= 2 / 182

= 2

So, Greatest Common Divisor of 900, 960, 398, 182 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 194, 374, 890, 427
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• GCD of 983, 365, 791, 547
• GCD of 794, 989, 145, 672
• GCD of 425, 812, 818, 812

Given numbers are 900, 960, 398, 182
The greatest common divisor of numbers 900, 960, 398, 182 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 960, 398, 182 is 2.

1. What is the GCD of 900, 960, 398, 182?

GCD of given numbers 900, 960, 398, 182 is 2

2. How to calculate the greatest common divisor of 900, 960, 398, 182?

We can find the highest common divisor of 900, 960, 398, 182 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 900, 960, 398, 182 i.e 2.

3. How can I use the GCD of 900, 960, 398, 182Calculator?

Out the numbers 900, 960, 398, 182 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.