GCD of 705, 948, 400, 801 Calculator

Given Input numbers are 705, 948, 400, 801

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

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

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

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 801

List of positive integer divisors of 801 that divides 801 without a remainder.

1, 3, 9, 89, 267, 801

Greatest Common Divisior

We found the divisors of 705, 948, 400, 801 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 948, 400, 801 is 1.

Therefore, GCD of numbers 705, 948, 400, 801 is 1

Given Input Data is 705, 948, 400, 801

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

Prime Factorization of 705 is 3 x 5 x 47

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

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

Prime Factorization of 801 is 3 x 3 x 89

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(705, 948) = 222780

GCD(705, 948) = ( 705 x 948 ) / 222780

GCD(705, 948) = 668340 / 222780

GCD(705, 948) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 400

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

LCM(3, 400) = 1200

GCD(3, 400) = ( 3 x 400 ) / 1200

GCD(3, 400) = 1200 / 1200

GCD(3, 400) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 801

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

LCM(1, 801) = 801

GCD(1, 801) = ( 1 x 801 ) / 801

GCD(1, 801) = 801 / 801

GCD(1, 801) = 1

GCD of 705, 948, 400, 801 is 1

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1. What is the GCD of 705, 948, 400, 801?

GCD of 705, 948, 400, 801 is 1

2. Where do I get the detailed procedure to find GCD of 705, 948, 400, 801?

You can find a detailed procedure to find GCD of 705, 948, 400, 801 on our page.

3. How to find GCD of 705, 948, 400, 801 on a calculator?

You can find the GCD of 705, 948, 400, 801 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.