GCD of 369, 723, 677, 896 Calculator

Given Input numbers are 369, 723, 677, 896

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

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 677 :

The positive integer divisors of 677 that completely divides 677 are.

1, 677

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

GCD of numbers is the greatest common divisor

So, the GCD (369, 723, 677, 896) = 1.

Given numbers are 369, 723, 677, 896

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 723 are 3 x 241

Prime factors of 677 are 677

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

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

Given numbers are 369, 723, 677, 896

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

Apply this formula for all numbers.

Step1:

LCM(369, 723) = 88929

GCD(369, 723) = ( 369 x 723 ) / 88929

= 369 / 723

= 369

Step2:

LCM(3, 677) = 2031

GCD(3, 677) = ( 3 x 677 ) / 2031

= 3 / 677

= 3

Step3:

LCM(1, 896) = 896

GCD(1, 896) = ( 1 x 896 ) / 896

= 1 / 896

= 1

So, Greatest Common Divisor of 369, 723, 677, 896 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 538, 526, 716, 440
• GCD of 776, 319, 242, 954
• GCD of 492, 415, 462, 712
• GCD of 322, 462, 992, 104
• GCD of 169, 351, 871, 989

Given numbers are 369, 723, 677, 896
The greatest common divisor of numbers 369, 723, 677, 896 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 723, 677, 896 is 1.

1. What is the GCD of 369, 723, 677, 896?

GCD of given numbers 369, 723, 677, 896 is 1

2. How to calculate the greatest common divisor of 369, 723, 677, 896?

We can find the highest common divisor of 369, 723, 677, 896 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 369, 723, 677, 896 i.e 1.

3. How can I use the GCD of 369, 723, 677, 896Calculator?

Out the numbers 369, 723, 677, 896 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.