GCD of 112, 840, 53, 704 Calculator

Given Input numbers are 112, 840, 53, 704

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

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

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 53

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

1, 53

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Greatest Common Divisior

We found the divisors of 112, 840, 53, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 840, 53, 704 is 1.

Therefore, GCD of numbers 112, 840, 53, 704 is 1

Given Input Data is 112, 840, 53, 704

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

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

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 53 is 53

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

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(112, 840) = 1680

GCD(112, 840) = ( 112 x 840 ) / 1680

GCD(112, 840) = 94080 / 1680

GCD(112, 840) = 56

Step2:

Here we consider the GCD from the above i.e. 56 as first number and the next as 53

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

LCM(56, 53) = 2968

GCD(56, 53) = ( 56 x 53 ) / 2968

GCD(56, 53) = 2968 / 2968

GCD(56, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 704

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

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

GCD(1, 704) = 704 / 704

GCD(1, 704) = 1

GCD of 112, 840, 53, 704 is 1

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1. What is the GCD of 112, 840, 53, 704?

GCD of 112, 840, 53, 704 is 1

2. Where do I get the detailed procedure to find GCD of 112, 840, 53, 704?

You can find a detailed procedure to find GCD of 112, 840, 53, 704 on our page.

3. How to find GCD of 112, 840, 53, 704 on a calculator?

You can find the GCD of 112, 840, 53, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.