GCD of 945, 607, 915, 348 Calculator

Given Input numbers are 945, 607, 915, 348

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

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 607

List of positive integer divisors of 607 that divides 607 without a remainder.

1, 607

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Greatest Common Divisior

We found the divisors of 945, 607, 915, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 607, 915, 348 is 1.

Therefore, GCD of numbers 945, 607, 915, 348 is 1

Given Input Data is 945, 607, 915, 348

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

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 607 is 607

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 348 is 2 x 2 x 3 x 29

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(945, 607) = 573615

GCD(945, 607) = ( 945 x 607 ) / 573615

GCD(945, 607) = 573615 / 573615

GCD(945, 607) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 915

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

LCM(1, 915) = 915

GCD(1, 915) = ( 1 x 915 ) / 915

GCD(1, 915) = 915 / 915

GCD(1, 915) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 348

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

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

GCD(1, 348) = 348 / 348

GCD(1, 348) = 1

GCD of 945, 607, 915, 348 is 1

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1. What is the GCD of 945, 607, 915, 348?

GCD of 945, 607, 915, 348 is 1

2. Where do I get the detailed procedure to find GCD of 945, 607, 915, 348?

You can find a detailed procedure to find GCD of 945, 607, 915, 348 on our page.

3. How to find GCD of 945, 607, 915, 348 on a calculator?

You can find the GCD of 945, 607, 915, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.