GCD of 740, 350, 84, 720 Calculator

Given Input numbers are 740, 350, 84, 720

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

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Greatest Common Divisior

We found the divisors of 740, 350, 84, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 350, 84, 720 is 2.

Therefore, GCD of numbers 740, 350, 84, 720 is 2

Given Input Data is 740, 350, 84, 720

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

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

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(740, 350) = 25900

GCD(740, 350) = ( 740 x 350 ) / 25900

GCD(740, 350) = 259000 / 25900

GCD(740, 350) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 84

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

LCM(10, 84) = 420

GCD(10, 84) = ( 10 x 84 ) / 420

GCD(10, 84) = 840 / 420

GCD(10, 84) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 720

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

LCM(2, 720) = 720

GCD(2, 720) = ( 2 x 720 ) / 720

GCD(2, 720) = 1440 / 720

GCD(2, 720) = 2

GCD of 740, 350, 84, 720 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 661, 674, 54, 152
• GCD of 619, 768, 50, 797
• GCD of 673, 984, 25, 295
• GCD of 248, 688, 82, 879
• GCD of 363, 973, 99, 811

1. What is the GCD of 740, 350, 84, 720?

GCD of 740, 350, 84, 720 is 2

2. Where do I get the detailed procedure to find GCD of 740, 350, 84, 720?

You can find a detailed procedure to find GCD of 740, 350, 84, 720 on our page.

3. How to find GCD of 740, 350, 84, 720 on a calculator?

You can find the GCD of 740, 350, 84, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.