GCD of 460, 760, 182, 312 Calculator

Given Input numbers are 460, 760, 182, 312

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

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 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 182 :

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

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

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

GCD of numbers is the greatest common divisor

So, the GCD (460, 760, 182, 312) = 2.

Given numbers are 460, 760, 182, 312

The list of prime factors of all numbers are

Prime factors of 460 are 2 x 2 x 5 x 23

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

Prime factors of 182 are 2 x 7 x 13

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 460, 760, 182, 312 is 2.

Given numbers are 460, 760, 182, 312

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

Apply this formula for all numbers.

Step1:

LCM(460, 760) = 17480

GCD(460, 760) = ( 460 x 760 ) / 17480

= 460 / 760

= 460

Step2:

LCM(20, 182) = 1820

GCD(20, 182) = ( 20 x 182 ) / 1820

= 20 / 182

= 20

Step3:

LCM(2, 312) = 312

GCD(2, 312) = ( 2 x 312 ) / 312

= 2 / 312

= 2

So, Greatest Common Divisor of 460, 760, 182, 312 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 867, 508, 840, 805
• GCD of 423, 343, 808, 848
• GCD of 482, 152, 412, 430
• GCD of 895, 299, 858, 619
• GCD of 629, 849, 978, 859

Given numbers are 460, 760, 182, 312
The greatest common divisor of numbers 460, 760, 182, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 760, 182, 312 is 2.

1. What is the GCD of 460, 760, 182, 312?

GCD of given numbers 460, 760, 182, 312 is 2

2. How to calculate the greatest common divisor of 460, 760, 182, 312?

We can find the highest common divisor of 460, 760, 182, 312 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 460, 760, 182, 312 i.e 2.

3. How can I use the GCD of 460, 760, 182, 312Calculator?

Out the numbers 460, 760, 182, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.