GCD of 672, 105, 56, 922 Calculator

Given Input numbers are 672, 105, 56, 922

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

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

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

Divisors of 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Greatest Common Divisior

We found the divisors of 672, 105, 56, 922 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 672, 105, 56, 922 is 1.

Therefore, GCD of numbers 672, 105, 56, 922 is 1

Given Input Data is 672, 105, 56, 922

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

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 922 is 2 x 461

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(672, 105) = 3360

GCD(672, 105) = ( 672 x 105 ) / 3360

GCD(672, 105) = 70560 / 3360

GCD(672, 105) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 56

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

LCM(21, 56) = 168

GCD(21, 56) = ( 21 x 56 ) / 168

GCD(21, 56) = 1176 / 168

GCD(21, 56) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 922

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

LCM(7, 922) = 6454

GCD(7, 922) = ( 7 x 922 ) / 6454

GCD(7, 922) = 6454 / 6454

GCD(7, 922) = 1

GCD of 672, 105, 56, 922 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 612, 137, 53, 122
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• GCD of 329, 400, 12, 688
• GCD of 700, 703, 72, 857

1. What is the GCD of 672, 105, 56, 922?

GCD of 672, 105, 56, 922 is 1

2. Where do I get the detailed procedure to find GCD of 672, 105, 56, 922?

You can find a detailed procedure to find GCD of 672, 105, 56, 922 on our page.

3. How to find GCD of 672, 105, 56, 922 on a calculator?

You can find the GCD of 672, 105, 56, 922 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.