Online GCD Calculator is useful to find the GCD of 362, 278, 687, 728 quickly. Get the easiest ways to solve the greatest common divisor of 362, 278, 687, 728 i.e 1 in different methods as follows.
Given Input numbers are 362, 278, 687, 728
In the factoring method, we have to find the divisors of all numbers
Divisors of 362 :
The positive integer divisors of 362 that completely divides 362 are.
1, 2, 181, 362
Divisors of 278 :
The positive integer divisors of 278 that completely divides 278 are.
1, 2, 139, 278
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
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
GCD of numbers is the greatest common divisor
So, the GCD (362, 278, 687, 728) = 1.
Given numbers are 362, 278, 687, 728
The list of prime factors of all numbers are
Prime factors of 362 are 2 x 181
Prime factors of 278 are 2 x 139
Prime factors of 687 are 3 x 229
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 362, 278, 687, 728
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(362, 278) = 50318
GCD(362, 278) = ( 362 x 278 ) / 50318
= 362 / 278
= 362
Step2:
LCM(2, 687) = 1374
GCD(2, 687) = ( 2 x 687 ) / 1374
= 2 / 687
= 2
Step3:
LCM(1, 728) = 728
GCD(1, 728) = ( 1 x 728 ) / 728
= 1 / 728
= 1
So, Greatest Common Divisor of 362, 278, 687, 728 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 362, 278, 687, 728
The greatest common divisor of numbers 362, 278, 687, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 362, 278, 687, 728 is 1.
1. What is the GCD of 362, 278, 687, 728?
GCD of given numbers 362, 278, 687, 728 is 1
2. How to calculate the greatest common divisor of 362, 278, 687, 728?
We can find the highest common divisor of 362, 278, 687, 728 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 362, 278, 687, 728 i.e 1.
3. How can I use the GCD of 362, 278, 687, 728Calculator?
Out the numbers 362, 278, 687, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.