GCD of 896, 945, 212, 674 Calculator

Given Input numbers are 896, 945, 212, 674

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

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Greatest Common Divisior

We found the divisors of 896, 945, 212, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 945, 212, 674 is 1.

Therefore, GCD of numbers 896, 945, 212, 674 is 1

Given Input Data is 896, 945, 212, 674

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

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 674 is 2 x 337

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(896, 945) = 120960

GCD(896, 945) = ( 896 x 945 ) / 120960

GCD(896, 945) = 846720 / 120960

GCD(896, 945) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 212

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

LCM(7, 212) = 1484

GCD(7, 212) = ( 7 x 212 ) / 1484

GCD(7, 212) = 1484 / 1484

GCD(7, 212) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 674

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

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

GCD(1, 674) = 674 / 674

GCD(1, 674) = 1

GCD of 896, 945, 212, 674 is 1

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1. What is the GCD of 896, 945, 212, 674?

GCD of 896, 945, 212, 674 is 1

2. Where do I get the detailed procedure to find GCD of 896, 945, 212, 674?

You can find a detailed procedure to find GCD of 896, 945, 212, 674 on our page.

3. How to find GCD of 896, 945, 212, 674 on a calculator?

You can find the GCD of 896, 945, 212, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.