GCD of 945, 148, 67, 913 Calculator

Given Input numbers are 945, 148, 67, 913

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 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Greatest Common Divisior

We found the divisors of 945, 148, 67, 913 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 148, 67, 913 is 1.

Therefore, GCD of numbers 945, 148, 67, 913 is 1

Given Input Data is 945, 148, 67, 913

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 148 is 2 x 2 x 37

Prime Factorization of 67 is 67

Prime Factorization of 913 is 11 x 83

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, 148) = 139860

GCD(945, 148) = ( 945 x 148 ) / 139860

GCD(945, 148) = 139860 / 139860

GCD(945, 148) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 67

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

LCM(1, 67) = 67

GCD(1, 67) = ( 1 x 67 ) / 67

GCD(1, 67) = 67 / 67

GCD(1, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 913

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

LCM(1, 913) = 913

GCD(1, 913) = ( 1 x 913 ) / 913

GCD(1, 913) = 913 / 913

GCD(1, 913) = 1

GCD of 945, 148, 67, 913 is 1

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1. What is the GCD of 945, 148, 67, 913?

GCD of 945, 148, 67, 913 is 1

2. Where do I get the detailed procedure to find GCD of 945, 148, 67, 913?

You can find a detailed procedure to find GCD of 945, 148, 67, 913 on our page.

3. How to find GCD of 945, 148, 67, 913 on a calculator?

You can find the GCD of 945, 148, 67, 913 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.