GCD of 370, 105, 385 Calculator

Given Input numbers are 370, 105, 385

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 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 385 :

The positive integer divisors of 385 that completely divides 385 are.

1, 5, 7, 11, 35, 55, 77, 385

GCD of numbers is the greatest common divisor

So, the GCD (370, 105, 385) = 5.

Given numbers are 370, 105, 385

The list of prime factors of all numbers are

Prime factors of 370 are 2 x 5 x 37

Prime factors of 105 are 3 x 5 x 7

Prime factors of 385 are 5 x 7 x 11

The highest common occurrence is 5¹

Therefore, GCD of 370, 105, 385 is 5.

Given numbers are 370, 105, 385

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

Apply this formula for all numbers.

Step1:

LCM(370, 105) = 7770

GCD(370, 105) = ( 370 x 105 ) / 7770

= 370 / 105

= 370

Step2:

LCM(5, 385) = 385

GCD(5, 385) = ( 5 x 385 ) / 385

= 5 / 385

= 5

So, Greatest Common Divisor of 370, 105, 385 is 5

Here are some samples of GCD of Numbers calculations.

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Given numbers are 370, 105, 385
The greatest common divisor of numbers 370, 105, 385 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 105, 385 is 5.

1. What is the GCD of 370, 105, 385?

GCD of given numbers 370, 105, 385 is 5

2. How to calculate the greatest common divisor of 370, 105, 385?

We can find the highest common divisor of 370, 105, 385 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, 105, 385 i.e 5.

3. How can I use the GCD of 370, 105, 385Calculator?

Out the numbers 370, 105, 385 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.