GCD of 40, 632, 945, 313 Calculator

Given Input numbers are 40, 632, 945, 313

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

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

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 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 40, 632, 945, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 632, 945, 313 is 1.

Therefore, GCD of numbers 40, 632, 945, 313 is 1

Given Input Data is 40, 632, 945, 313

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 632 is 2 x 2 x 2 x 79

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

Prime Factorization of 313 is 313

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(40, 632) = 3160

GCD(40, 632) = ( 40 x 632 ) / 3160

GCD(40, 632) = 25280 / 3160

GCD(40, 632) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 945

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

LCM(8, 945) = 7560

GCD(8, 945) = ( 8 x 945 ) / 7560

GCD(8, 945) = 7560 / 7560

GCD(8, 945) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

GCD of 40, 632, 945, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 65, 619, 423, 548
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• GCD of 12, 773, 925, 506
• GCD of 21, 462, 186, 892

1. What is the GCD of 40, 632, 945, 313?

GCD of 40, 632, 945, 313 is 1

2. Where do I get the detailed procedure to find GCD of 40, 632, 945, 313?

You can find a detailed procedure to find GCD of 40, 632, 945, 313 on our page.

3. How to find GCD of 40, 632, 945, 313 on a calculator?

You can find the GCD of 40, 632, 945, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.