GCD of 370, 440, 460 Calculator

Given Input numbers are 370, 440, 460

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

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

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

GCD of numbers is the greatest common divisor

So, the GCD (370, 440, 460) = 10.

Given numbers are 370, 440, 460

The list of prime factors of all numbers are

Prime factors of 370 are 2 x 5 x 37

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

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

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 370, 440, 460 is 10.

Given numbers are 370, 440, 460

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

Apply this formula for all numbers.

Step1:

LCM(370, 440) = 16280

GCD(370, 440) = ( 370 x 440 ) / 16280

= 370 / 440

= 370

Step2:

LCM(10, 460) = 460

GCD(10, 460) = ( 10 x 460 ) / 460

= 10 / 460

= 10

So, Greatest Common Divisor of 370, 440, 460 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 142, 855, 617
• GCD of 948, 915, 622
• GCD of 286, 628, 984
• GCD of 753, 256, 313
• GCD of 967, 425, 465

Given numbers are 370, 440, 460
The greatest common divisor of numbers 370, 440, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 440, 460 is 10.

1. What is the GCD of 370, 440, 460?

GCD of given numbers 370, 440, 460 is 10

2. How to calculate the greatest common divisor of 370, 440, 460?

We can find the highest common divisor of 370, 440, 460 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 370, 440, 460 i.e 10.

3. How can I use the GCD of 370, 440, 460Calculator?

Out the numbers 370, 440, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.