GCD of 945, 976, 49, 385 Calculator

Given Input numbers are 945, 976, 49, 385

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 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 385

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

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

Greatest Common Divisior

We found the divisors of 945, 976, 49, 385 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 976, 49, 385 is 1.

Therefore, GCD of numbers 945, 976, 49, 385 is 1

Given Input Data is 945, 976, 49, 385

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 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 49 is 7 x 7

Prime Factorization of 385 is 5 x 7 x 11

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, 976) = 922320

GCD(945, 976) = ( 945 x 976 ) / 922320

GCD(945, 976) = 922320 / 922320

GCD(945, 976) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 385

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

LCM(1, 385) = 385

GCD(1, 385) = ( 1 x 385 ) / 385

GCD(1, 385) = 385 / 385

GCD(1, 385) = 1

GCD of 945, 976, 49, 385 is 1

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1. What is the GCD of 945, 976, 49, 385?

GCD of 945, 976, 49, 385 is 1

2. Where do I get the detailed procedure to find GCD of 945, 976, 49, 385?

You can find a detailed procedure to find GCD of 945, 976, 49, 385 on our page.

3. How to find GCD of 945, 976, 49, 385 on a calculator?

You can find the GCD of 945, 976, 49, 385 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.