GCD of 728, 404, 116, 977 Calculator

Given Input numbers are 728, 404, 116, 977

In the factoring method, we have to find the divisors of all numbers

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 977 :

The positive integer divisors of 977 that completely divides 977 are.

1, 977

GCD of numbers is the greatest common divisor

So, the GCD (728, 404, 116, 977) = 1.

Given numbers are 728, 404, 116, 977

The list of prime factors of all numbers are

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 404 are 2 x 2 x 101

Prime factors of 116 are 2 x 2 x 29

Prime factors of 977 are 977

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 728, 404, 116, 977

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(728, 404) = 73528

GCD(728, 404) = ( 728 x 404 ) / 73528

= 728 / 404

= 728

Step2:

LCM(4, 116) = 116

GCD(4, 116) = ( 4 x 116 ) / 116

= 4 / 116

= 4

Step3:

LCM(4, 977) = 3908

GCD(4, 977) = ( 4 x 977 ) / 3908

= 4 / 977

= 4

So, Greatest Common Divisor of 728, 404, 116, 977 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 280, 493, 819, 534
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• GCD of 245, 660, 428, 944
• GCD of 217, 849, 149, 245
• GCD of 799, 951, 615, 700

Given numbers are 728, 404, 116, 977
The greatest common divisor of numbers 728, 404, 116, 977 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 404, 116, 977 is 1.

1. What is the GCD of 728, 404, 116, 977?

GCD of given numbers 728, 404, 116, 977 is 1

2. How to calculate the greatest common divisor of 728, 404, 116, 977?

We can find the highest common divisor of 728, 404, 116, 977 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 728, 404, 116, 977 i.e 1.

3. How can I use the GCD of 728, 404, 116, 977Calculator?

Out the numbers 728, 404, 116, 977 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.