GCD of 616, 740, 61, 100 Calculator

Given Input numbers are 616, 740, 61, 100

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

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

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 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

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 616, 740, 61, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 616, 740, 61, 100 is 1.

Therefore, GCD of numbers 616, 740, 61, 100 is 1

Given Input Data is 616, 740, 61, 100

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

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

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

Prime Factorization of 61 is 61

Prime Factorization of 100 is 2 x 2 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

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(616, 740) = 113960

GCD(616, 740) = ( 616 x 740 ) / 113960

GCD(616, 740) = 455840 / 113960

GCD(616, 740) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 61

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

LCM(4, 61) = 244

GCD(4, 61) = ( 4 x 61 ) / 244

GCD(4, 61) = 244 / 244

GCD(4, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 616, 740, 61, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 915, 353, 54, 144
• GCD of 399, 232, 29, 919
• GCD of 513, 733, 29, 320
• GCD of 706, 835, 79, 180
• GCD of 266, 989, 97, 666

1. What is the GCD of 616, 740, 61, 100?

GCD of 616, 740, 61, 100 is 1

2. Where do I get the detailed procedure to find GCD of 616, 740, 61, 100?

You can find a detailed procedure to find GCD of 616, 740, 61, 100 on our page.

3. How to find GCD of 616, 740, 61, 100 on a calculator?

You can find the GCD of 616, 740, 61, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.