GCD of 400, 756, 40, 948 Calculator

Given Input numbers are 400, 756, 40, 948

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

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

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 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Greatest Common Divisior

We found the divisors of 400, 756, 40, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 756, 40, 948 is 4.

Therefore, GCD of numbers 400, 756, 40, 948 is 4

Given Input Data is 400, 756, 40, 948

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

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

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

Prime Factorization of 948 is 2 x 2 x 3 x 79

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(400, 756) = 75600

GCD(400, 756) = ( 400 x 756 ) / 75600

GCD(400, 756) = 302400 / 75600

GCD(400, 756) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 40

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

LCM(4, 40) = 40

GCD(4, 40) = ( 4 x 40 ) / 40

GCD(4, 40) = 160 / 40

GCD(4, 40) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 948

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

LCM(4, 948) = 948

GCD(4, 948) = ( 4 x 948 ) / 948

GCD(4, 948) = 3792 / 948

GCD(4, 948) = 4

GCD of 400, 756, 40, 948 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 750, 432, 59, 877
• GCD of 643, 953, 74, 382
• GCD of 186, 131, 86, 297
• GCD of 931, 697, 27, 268
• GCD of 418, 913, 35, 948

1. What is the GCD of 400, 756, 40, 948?

GCD of 400, 756, 40, 948 is 4

2. Where do I get the detailed procedure to find GCD of 400, 756, 40, 948?

You can find a detailed procedure to find GCD of 400, 756, 40, 948 on our page.

3. How to find GCD of 400, 756, 40, 948 on a calculator?

You can find the GCD of 400, 756, 40, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.