GCD of 385, 475, 35, 112 Calculator

Given Input numbers are 385, 475, 35, 112

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

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

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Greatest Common Divisior

We found the divisors of 385, 475, 35, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 385, 475, 35, 112 is 1.

Therefore, GCD of numbers 385, 475, 35, 112 is 1

Given Input Data is 385, 475, 35, 112

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 385 is 5 x 7 x 11

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 35 is 5 x 7

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(385, 475) = 36575

GCD(385, 475) = ( 385 x 475 ) / 36575

GCD(385, 475) = 182875 / 36575

GCD(385, 475) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 35

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

LCM(5, 35) = 35

GCD(5, 35) = ( 5 x 35 ) / 35

GCD(5, 35) = 175 / 35

GCD(5, 35) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 112

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

LCM(5, 112) = 560

GCD(5, 112) = ( 5 x 112 ) / 560

GCD(5, 112) = 560 / 560

GCD(5, 112) = 1

GCD of 385, 475, 35, 112 is 1

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• GCD of 870, 556, 59, 444
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1. What is the GCD of 385, 475, 35, 112?

GCD of 385, 475, 35, 112 is 1

2. Where do I get the detailed procedure to find GCD of 385, 475, 35, 112?

You can find a detailed procedure to find GCD of 385, 475, 35, 112 on our page.

3. How to find GCD of 385, 475, 35, 112 on a calculator?

You can find the GCD of 385, 475, 35, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.