GCD of 220, 750, 60, 705 Calculator

Given Input numbers are 220, 750, 60, 705

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 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 705

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

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

Greatest Common Divisior

We found the divisors of 220, 750, 60, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 750, 60, 705 is 5.

Therefore, GCD of numbers 220, 750, 60, 705 is 5

Given Input Data is 220, 750, 60, 705

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 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 705 is 3 x 5 x 47

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, 750) = 16500

GCD(220, 750) = ( 220 x 750 ) / 16500

GCD(220, 750) = 165000 / 16500

GCD(220, 750) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 60

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

LCM(10, 60) = 60

GCD(10, 60) = ( 10 x 60 ) / 60

GCD(10, 60) = 600 / 60

GCD(10, 60) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 705

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

LCM(10, 705) = 1410

GCD(10, 705) = ( 10 x 705 ) / 1410

GCD(10, 705) = 7050 / 1410

GCD(10, 705) = 5

GCD of 220, 750, 60, 705 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 546, 588, 95, 406
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• GCD of 760, 200, 23, 258
• GCD of 226, 530, 96, 595
• GCD of 550, 691, 81, 925

1. What is the GCD of 220, 750, 60, 705?

GCD of 220, 750, 60, 705 is 5

2. Where do I get the detailed procedure to find GCD of 220, 750, 60, 705?

You can find a detailed procedure to find GCD of 220, 750, 60, 705 on our page.

3. How to find GCD of 220, 750, 60, 705 on a calculator?

You can find the GCD of 220, 750, 60, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.