GCD of 708, 448, 70, 882 Calculator

Given Input numbers are 708, 448, 70, 882

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

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

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 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Greatest Common Divisior

We found the divisors of 708, 448, 70, 882 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 448, 70, 882 is 2.

Therefore, GCD of numbers 708, 448, 70, 882 is 2

Given Input Data is 708, 448, 70, 882

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

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(708, 448) = 79296

GCD(708, 448) = ( 708 x 448 ) / 79296

GCD(708, 448) = 317184 / 79296

GCD(708, 448) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 70

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

LCM(4, 70) = 140

GCD(4, 70) = ( 4 x 70 ) / 140

GCD(4, 70) = 280 / 140

GCD(4, 70) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 882

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

LCM(2, 882) = 882

GCD(2, 882) = ( 2 x 882 ) / 882

GCD(2, 882) = 1764 / 882

GCD(2, 882) = 2

GCD of 708, 448, 70, 882 is 2

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1. What is the GCD of 708, 448, 70, 882?

GCD of 708, 448, 70, 882 is 2

2. Where do I get the detailed procedure to find GCD of 708, 448, 70, 882?

You can find a detailed procedure to find GCD of 708, 448, 70, 882 on our page.

3. How to find GCD of 708, 448, 70, 882 on a calculator?

You can find the GCD of 708, 448, 70, 882 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.