GCD of 460, 410, 272, 120 Calculator

Given Input numbers are 460, 410, 272, 120

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 410 :

The positive integer divisors of 410 that completely divides 410 are.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

GCD of numbers is the greatest common divisor

So, the GCD (460, 410, 272, 120) = 2.

Given numbers are 460, 410, 272, 120

The list of prime factors of all numbers are

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

Prime factors of 410 are 2 x 5 x 41

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 460, 410, 272, 120 is 2.

Given numbers are 460, 410, 272, 120

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

Apply this formula for all numbers.

Step1:

LCM(460, 410) = 18860

GCD(460, 410) = ( 460 x 410 ) / 18860

= 460 / 410

= 460

Step2:

LCM(10, 272) = 1360

GCD(10, 272) = ( 10 x 272 ) / 1360

= 10 / 272

= 10

Step3:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2

So, Greatest Common Divisor of 460, 410, 272, 120 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 613, 866, 275, 884
• GCD of 906, 590, 178, 925
• GCD of 809, 699, 137, 581
• GCD of 150, 409, 446, 326
• GCD of 295, 699, 430, 320

Given numbers are 460, 410, 272, 120
The greatest common divisor of numbers 460, 410, 272, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 410, 272, 120 is 2.

1. What is the GCD of 460, 410, 272, 120?

GCD of given numbers 460, 410, 272, 120 is 2

2. How to calculate the greatest common divisor of 460, 410, 272, 120?

We can find the highest common divisor of 460, 410, 272, 120 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, 410, 272, 120 i.e 2.

3. How can I use the GCD of 460, 410, 272, 120Calculator?

Out the numbers 460, 410, 272, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.