GCD of 86, 584, 370, 456 Calculator

Given Input numbers are 86, 584, 370, 456

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

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Greatest Common Divisior

We found the divisors of 86, 584, 370, 456 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 86, 584, 370, 456 is 2.

Therefore, GCD of numbers 86, 584, 370, 456 is 2

Given Input Data is 86, 584, 370, 456

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

Prime Factorization of 86 is 2 x 43

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(86, 584) = 25112

GCD(86, 584) = ( 86 x 584 ) / 25112

GCD(86, 584) = 50224 / 25112

GCD(86, 584) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 370

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

LCM(2, 370) = 370

GCD(2, 370) = ( 2 x 370 ) / 370

GCD(2, 370) = 740 / 370

GCD(2, 370) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 456

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

LCM(2, 456) = 456

GCD(2, 456) = ( 2 x 456 ) / 456

GCD(2, 456) = 912 / 456

GCD(2, 456) = 2

GCD of 86, 584, 370, 456 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 83, 779, 165, 962
• GCD of 56, 681, 159, 813
• GCD of 85, 591, 413, 679
• GCD of 35, 300, 681, 900
• GCD of 62, 533, 147, 264

1. What is the GCD of 86, 584, 370, 456?

GCD of 86, 584, 370, 456 is 2

2. Where do I get the detailed procedure to find GCD of 86, 584, 370, 456?

You can find a detailed procedure to find GCD of 86, 584, 370, 456 on our page.

3. How to find GCD of 86, 584, 370, 456 on a calculator?

You can find the GCD of 86, 584, 370, 456 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.