GCD of 220, 865, 65, 700 Calculator

Given Input numbers are 220, 865, 65, 700

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

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 865

List of positive integer divisors of 865 that divides 865 without a remainder.

1, 5, 173, 865

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Greatest Common Divisior

We found the divisors of 220, 865, 65, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 865, 65, 700 is 5.

Therefore, GCD of numbers 220, 865, 65, 700 is 5

Given Input Data is 220, 865, 65, 700

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

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 865 is 5 x 173

Prime Factorization of 65 is 5 x 13

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(220, 865) = 38060

GCD(220, 865) = ( 220 x 865 ) / 38060

GCD(220, 865) = 190300 / 38060

GCD(220, 865) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 65

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

LCM(5, 65) = 65

GCD(5, 65) = ( 5 x 65 ) / 65

GCD(5, 65) = 325 / 65

GCD(5, 65) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 700

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

LCM(5, 700) = 700

GCD(5, 700) = ( 5 x 700 ) / 700

GCD(5, 700) = 3500 / 700

GCD(5, 700) = 5

GCD of 220, 865, 65, 700 is 5

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1. What is the GCD of 220, 865, 65, 700?

GCD of 220, 865, 65, 700 is 5

2. Where do I get the detailed procedure to find GCD of 220, 865, 65, 700?

You can find a detailed procedure to find GCD of 220, 865, 65, 700 on our page.

3. How to find GCD of 220, 865, 65, 700 on a calculator?

You can find the GCD of 220, 865, 65, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.