GCD of 382, 112, 600, 758 Calculator

Given Input numbers are 382, 112, 600, 758

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

Divisors of 382 :

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

1, 2, 191, 382

Divisors of 112 :

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

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

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

GCD of numbers is the greatest common divisor

So, the GCD (382, 112, 600, 758) = 2.

Given numbers are 382, 112, 600, 758

The list of prime factors of all numbers are

Prime factors of 382 are 2 x 191

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

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 758 are 2 x 379

The highest common occurrence is 2¹

Therefore, GCD of 382, 112, 600, 758 is 2.

Given numbers are 382, 112, 600, 758

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

Apply this formula for all numbers.

Step1:

LCM(382, 112) = 21392

GCD(382, 112) = ( 382 x 112 ) / 21392

= 382 / 112

= 382

Step2:

LCM(2, 600) = 600

GCD(2, 600) = ( 2 x 600 ) / 600

= 2 / 600

= 2

Step3:

LCM(2, 758) = 758

GCD(2, 758) = ( 2 x 758 ) / 758

= 2 / 758

= 2

So, Greatest Common Divisor of 382, 112, 600, 758 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 930, 353, 157, 190
• GCD of 772, 345, 249, 564
• GCD of 589, 517, 959, 634
• GCD of 441, 394, 660, 311
• GCD of 175, 303, 360, 105

Given numbers are 382, 112, 600, 758
The greatest common divisor of numbers 382, 112, 600, 758 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 382, 112, 600, 758 is 2.

1. What is the GCD of 382, 112, 600, 758?

GCD of given numbers 382, 112, 600, 758 is 2

2. How to calculate the greatest common divisor of 382, 112, 600, 758?

We can find the highest common divisor of 382, 112, 600, 758 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 382, 112, 600, 758 i.e 2.

3. How can I use the GCD of 382, 112, 600, 758Calculator?

Out the numbers 382, 112, 600, 758 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.