GCD of 95, 740, 345, 378 Calculator

Given Input numbers are 95, 740, 345, 378

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

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Greatest Common Divisior

We found the divisors of 95, 740, 345, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 95, 740, 345, 378 is 1.

Therefore, GCD of numbers 95, 740, 345, 378 is 1

Given Input Data is 95, 740, 345, 378

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

Prime Factorization of 95 is 5 x 19

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 378 is 2 x 3 x 3 x 3 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(95, 740) = 14060

GCD(95, 740) = ( 95 x 740 ) / 14060

GCD(95, 740) = 70300 / 14060

GCD(95, 740) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 345

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

LCM(5, 345) = 345

GCD(5, 345) = ( 5 x 345 ) / 345

GCD(5, 345) = 1725 / 345

GCD(5, 345) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 378

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

LCM(5, 378) = 1890

GCD(5, 378) = ( 5 x 378 ) / 1890

GCD(5, 378) = 1890 / 1890

GCD(5, 378) = 1

GCD of 95, 740, 345, 378 is 1

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• GCD of 87, 280, 278, 907
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1. What is the GCD of 95, 740, 345, 378?

GCD of 95, 740, 345, 378 is 1

2. Where do I get the detailed procedure to find GCD of 95, 740, 345, 378?

You can find a detailed procedure to find GCD of 95, 740, 345, 378 on our page.

3. How to find GCD of 95, 740, 345, 378 on a calculator?

You can find the GCD of 95, 740, 345, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.