GCD of 945, 376, 61, 304 Calculator

Given Input numbers are 945, 376, 61, 304

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 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Greatest Common Divisior

We found the divisors of 945, 376, 61, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 376, 61, 304 is 1.

Therefore, GCD of numbers 945, 376, 61, 304 is 1

Given Input Data is 945, 376, 61, 304

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 376 is 2 x 2 x 2 x 47

Prime Factorization of 61 is 61

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

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, 376) = 355320

GCD(945, 376) = ( 945 x 376 ) / 355320

GCD(945, 376) = 355320 / 355320

GCD(945, 376) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 61

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

LCM(1, 61) = 61

GCD(1, 61) = ( 1 x 61 ) / 61

GCD(1, 61) = 61 / 61

GCD(1, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 304

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

LCM(1, 304) = 304

GCD(1, 304) = ( 1 x 304 ) / 304

GCD(1, 304) = 304 / 304

GCD(1, 304) = 1

GCD of 945, 376, 61, 304 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 632, 972, 10, 271
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• GCD of 862, 552, 56, 500
• GCD of 223, 152, 82, 205

1. What is the GCD of 945, 376, 61, 304?

GCD of 945, 376, 61, 304 is 1

2. Where do I get the detailed procedure to find GCD of 945, 376, 61, 304?

You can find a detailed procedure to find GCD of 945, 376, 61, 304 on our page.

3. How to find GCD of 945, 376, 61, 304 on a calculator?

You can find the GCD of 945, 376, 61, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.