GCD of 726, 208, 70, 100 Calculator

Given Input numbers are 726, 208, 70, 100

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

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Greatest Common Divisior

We found the divisors of 726, 208, 70, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 208, 70, 100 is 2.

Therefore, GCD of numbers 726, 208, 70, 100 is 2

Given Input Data is 726, 208, 70, 100

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

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 100 is 2 x 2 x 5 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(726, 208) = 75504

GCD(726, 208) = ( 726 x 208 ) / 75504

GCD(726, 208) = 151008 / 75504

GCD(726, 208) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 70

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

LCM(2, 70) = 70

GCD(2, 70) = ( 2 x 70 ) / 70

GCD(2, 70) = 140 / 70

GCD(2, 70) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 100

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

LCM(2, 100) = 100

GCD(2, 100) = ( 2 x 100 ) / 100

GCD(2, 100) = 200 / 100

GCD(2, 100) = 2

GCD of 726, 208, 70, 100 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 372, 963, 14, 165
• GCD of 252, 207, 34, 244
• GCD of 879, 833, 94, 856
• GCD of 865, 506, 21, 427
• GCD of 513, 455, 34, 420

1. What is the GCD of 726, 208, 70, 100?

GCD of 726, 208, 70, 100 is 2

2. Where do I get the detailed procedure to find GCD of 726, 208, 70, 100?

You can find a detailed procedure to find GCD of 726, 208, 70, 100 on our page.

3. How to find GCD of 726, 208, 70, 100 on a calculator?

You can find the GCD of 726, 208, 70, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.