GCD of 776, 946, 22, 672 Calculator

Given Input numbers are 776, 946, 22, 672

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

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

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

Greatest Common Divisior

We found the divisors of 776, 946, 22, 672 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 776, 946, 22, 672 is 2.

Therefore, GCD of numbers 776, 946, 22, 672 is 2

Given Input Data is 776, 946, 22, 672

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

Prime Factorization of 776 is 2 x 2 x 2 x 97

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 22 is 2 x 11

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 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(776, 946) = 367048

GCD(776, 946) = ( 776 x 946 ) / 367048

GCD(776, 946) = 734096 / 367048

GCD(776, 946) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 22

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

LCM(2, 22) = 22

GCD(2, 22) = ( 2 x 22 ) / 22

GCD(2, 22) = 44 / 22

GCD(2, 22) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 672

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

LCM(2, 672) = 672

GCD(2, 672) = ( 2 x 672 ) / 672

GCD(2, 672) = 1344 / 672

GCD(2, 672) = 2

GCD of 776, 946, 22, 672 is 2

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1. What is the GCD of 776, 946, 22, 672?

GCD of 776, 946, 22, 672 is 2

2. Where do I get the detailed procedure to find GCD of 776, 946, 22, 672?

You can find a detailed procedure to find GCD of 776, 946, 22, 672 on our page.

3. How to find GCD of 776, 946, 22, 672 on a calculator?

You can find the GCD of 776, 946, 22, 672 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.