GCD of 85, 528, 600, 400 Calculator

Given Input numbers are 85, 528, 600, 400

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

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

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

Greatest Common Divisior

We found the divisors of 85, 528, 600, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 528, 600, 400 is 1.

Therefore, GCD of numbers 85, 528, 600, 400 is 1

Given Input Data is 85, 528, 600, 400

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

Prime Factorization of 85 is 5 x 17

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

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

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(85, 528) = 44880

GCD(85, 528) = ( 85 x 528 ) / 44880

GCD(85, 528) = 44880 / 44880

GCD(85, 528) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 600

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

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

GCD(1, 600) = 600 / 600

GCD(1, 600) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

GCD of 85, 528, 600, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 53, 502, 363, 884
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• GCD of 58, 293, 131, 566
• GCD of 52, 549, 373, 172
• GCD of 44, 573, 814, 940

1. What is the GCD of 85, 528, 600, 400?

GCD of 85, 528, 600, 400 is 1

2. Where do I get the detailed procedure to find GCD of 85, 528, 600, 400?

You can find a detailed procedure to find GCD of 85, 528, 600, 400 on our page.

3. How to find GCD of 85, 528, 600, 400 on a calculator?

You can find the GCD of 85, 528, 600, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.