GCD of 776, 148, 136, 896 Calculator

Given Input numbers are 776, 148, 136, 896

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 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

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

Greatest Common Divisior

We found the divisors of 776, 148, 136, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 776, 148, 136, 896 is 4.

Therefore, GCD of numbers 776, 148, 136, 896 is 4

Given Input Data is 776, 148, 136, 896

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 148 is 2 x 2 x 37

Prime Factorization of 136 is 2 x 2 x 2 x 17

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

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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, 148) = 28712

GCD(776, 148) = ( 776 x 148 ) / 28712

GCD(776, 148) = 114848 / 28712

GCD(776, 148) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 136

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

LCM(4, 136) = 136

GCD(4, 136) = ( 4 x 136 ) / 136

GCD(4, 136) = 544 / 136

GCD(4, 136) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 896

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

LCM(4, 896) = 896

GCD(4, 896) = ( 4 x 896 ) / 896

GCD(4, 896) = 3584 / 896

GCD(4, 896) = 4

GCD of 776, 148, 136, 896 is 4

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1. What is the GCD of 776, 148, 136, 896?

GCD of 776, 148, 136, 896 is 4

2. Where do I get the detailed procedure to find GCD of 776, 148, 136, 896?

You can find a detailed procedure to find GCD of 776, 148, 136, 896 on our page.

3. How to find GCD of 776, 148, 136, 896 on a calculator?

You can find the GCD of 776, 148, 136, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.