GCD of 851, 726, 53, 112 Calculator

Given Input numbers are 851, 726, 53, 112

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

Divisors of 851

List of positive integer divisors of 851 that divides 851 without a remainder.

1, 23, 37, 851

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 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Greatest Common Divisior

We found the divisors of 851, 726, 53, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 851, 726, 53, 112 is 1.

Therefore, GCD of numbers 851, 726, 53, 112 is 1

Given Input Data is 851, 726, 53, 112

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

Prime Factorization of 851 is 23 x 37

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

Prime Factorization of 53 is 53

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

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(851, 726) = 617826

GCD(851, 726) = ( 851 x 726 ) / 617826

GCD(851, 726) = 617826 / 617826

GCD(851, 726) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 112

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

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

GCD(1, 112) = 112 / 112

GCD(1, 112) = 1

GCD of 851, 726, 53, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 445, 294, 86, 786
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• GCD of 123, 524, 12, 207
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• GCD of 755, 180, 10, 897

1. What is the GCD of 851, 726, 53, 112?

GCD of 851, 726, 53, 112 is 1

2. Where do I get the detailed procedure to find GCD of 851, 726, 53, 112?

You can find a detailed procedure to find GCD of 851, 726, 53, 112 on our page.

3. How to find GCD of 851, 726, 53, 112 on a calculator?

You can find the GCD of 851, 726, 53, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.