GCD of 616, 160, 91, 828 Calculator

Given Input numbers are 616, 160, 91, 828

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 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 616, 160, 91, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 616, 160, 91, 828 is 1.

Therefore, GCD of numbers 616, 160, 91, 828 is 1

Given Input Data is 616, 160, 91, 828

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 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 91 is 7 x 13

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

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, 160) = 12320

GCD(616, 160) = ( 616 x 160 ) / 12320

GCD(616, 160) = 98560 / 12320

GCD(616, 160) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 91

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

LCM(8, 91) = 728

GCD(8, 91) = ( 8 x 91 ) / 728

GCD(8, 91) = 728 / 728

GCD(8, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

GCD of 616, 160, 91, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 243, 942, 60, 468
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• GCD of 109, 764, 33, 630
• GCD of 494, 508, 47, 372

1. What is the GCD of 616, 160, 91, 828?

GCD of 616, 160, 91, 828 is 1

2. Where do I get the detailed procedure to find GCD of 616, 160, 91, 828?

You can find a detailed procedure to find GCD of 616, 160, 91, 828 on our page.

3. How to find GCD of 616, 160, 91, 828 on a calculator?

You can find the GCD of 616, 160, 91, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.