GCD of 705, 370, 472, 440 Calculator

Given Input numbers are 705, 370, 472, 440

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

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 370 :

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

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

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

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

GCD of numbers is the greatest common divisor

So, the GCD (705, 370, 472, 440) = 1.

Given numbers are 705, 370, 472, 440

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

Prime factors of 370 are 2 x 5 x 37

Prime factors of 472 are 2 x 2 x 2 x 59

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 705, 370, 472, 440

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

Apply this formula for all numbers.

Step1:

LCM(705, 370) = 52170

GCD(705, 370) = ( 705 x 370 ) / 52170

= 705 / 370

= 705

Step2:

LCM(5, 472) = 2360

GCD(5, 472) = ( 5 x 472 ) / 2360

= 5 / 472

= 5

Step3:

LCM(1, 440) = 440

GCD(1, 440) = ( 1 x 440 ) / 440

= 1 / 440

= 1

So, Greatest Common Divisor of 705, 370, 472, 440 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 781, 588, 772, 425
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Given numbers are 705, 370, 472, 440
The greatest common divisor of numbers 705, 370, 472, 440 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 370, 472, 440 is 1.

1. What is the GCD of 705, 370, 472, 440?

GCD of given numbers 705, 370, 472, 440 is 1

2. How to calculate the greatest common divisor of 705, 370, 472, 440?

We can find the highest common divisor of 705, 370, 472, 440 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 705, 370, 472, 440 i.e 1.

3. How can I use the GCD of 705, 370, 472, 440Calculator?

Out the numbers 705, 370, 472, 440 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.