GCD of 340, 912, 49, 776 Calculator

Given Input numbers are 340, 912, 49, 776

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

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 776

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

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

Greatest Common Divisior

We found the divisors of 340, 912, 49, 776 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 912, 49, 776 is 1.

Therefore, GCD of numbers 340, 912, 49, 776 is 1

Given Input Data is 340, 912, 49, 776

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

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 49 is 7 x 7

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

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(340, 912) = 77520

GCD(340, 912) = ( 340 x 912 ) / 77520

GCD(340, 912) = 310080 / 77520

GCD(340, 912) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 49

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

LCM(4, 49) = 196

GCD(4, 49) = ( 4 x 49 ) / 196

GCD(4, 49) = 196 / 196

GCD(4, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 776

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

LCM(1, 776) = 776

GCD(1, 776) = ( 1 x 776 ) / 776

GCD(1, 776) = 776 / 776

GCD(1, 776) = 1

GCD of 340, 912, 49, 776 is 1

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1. What is the GCD of 340, 912, 49, 776?

GCD of 340, 912, 49, 776 is 1

2. Where do I get the detailed procedure to find GCD of 340, 912, 49, 776?

You can find a detailed procedure to find GCD of 340, 912, 49, 776 on our page.

3. How to find GCD of 340, 912, 49, 776 on a calculator?

You can find the GCD of 340, 912, 49, 776 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.