GCD of 182, 742, 760, 728 Calculator

Given Input numbers are 182, 742, 760, 728

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

Divisors of 182 :

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

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

GCD of numbers is the greatest common divisor

So, the GCD (182, 742, 760, 728) = 2.

Given numbers are 182, 742, 760, 728

The list of prime factors of all numbers are

Prime factors of 182 are 2 x 7 x 13

Prime factors of 742 are 2 x 7 x 53

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 182, 742, 760, 728 is 2.

Given numbers are 182, 742, 760, 728

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

Apply this formula for all numbers.

Step1:

LCM(182, 742) = 9646

GCD(182, 742) = ( 182 x 742 ) / 9646

= 182 / 742

= 182

Step2:

LCM(14, 760) = 5320

GCD(14, 760) = ( 14 x 760 ) / 5320

= 14 / 760

= 14

Step3:

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

= 2 / 728

= 2

So, Greatest Common Divisor of 182, 742, 760, 728 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 958, 784, 605, 426
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Given numbers are 182, 742, 760, 728
The greatest common divisor of numbers 182, 742, 760, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 182, 742, 760, 728 is 2.

1. What is the GCD of 182, 742, 760, 728?

GCD of given numbers 182, 742, 760, 728 is 2

2. How to calculate the greatest common divisor of 182, 742, 760, 728?

We can find the highest common divisor of 182, 742, 760, 728 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 182, 742, 760, 728 i.e 2.

3. How can I use the GCD of 182, 742, 760, 728Calculator?

Out the numbers 182, 742, 760, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.