Online GCD Calculator is useful to find the GCD of 854, 862, 709, 728 quickly. Get the easiest ways to solve the greatest common divisor of 854, 862, 709, 728 i.e 1 in different methods as follows.
Given Input numbers are 854, 862, 709, 728
In the factoring method, we have to find the divisors of all numbers
Divisors of 854 :
The positive integer divisors of 854 that completely divides 854 are.
1, 2, 7, 14, 61, 122, 427, 854
Divisors of 862 :
The positive integer divisors of 862 that completely divides 862 are.
1, 2, 431, 862
Divisors of 709 :
The positive integer divisors of 709 that completely divides 709 are.
1, 709
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 (854, 862, 709, 728) = 1.
Given numbers are 854, 862, 709, 728
The list of prime factors of all numbers are
Prime factors of 854 are 2 x 7 x 61
Prime factors of 862 are 2 x 431
Prime factors of 709 are 709
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 854, 862, 709, 728
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(854, 862) = 368074
GCD(854, 862) = ( 854 x 862 ) / 368074
= 854 / 862
= 854
Step2:
LCM(2, 709) = 1418
GCD(2, 709) = ( 2 x 709 ) / 1418
= 2 / 709
= 2
Step3:
LCM(1, 728) = 728
GCD(1, 728) = ( 1 x 728 ) / 728
= 1 / 728
= 1
So, Greatest Common Divisor of 854, 862, 709, 728 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 854, 862, 709, 728
The greatest common divisor of numbers 854, 862, 709, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 854, 862, 709, 728 is 1.
1. What is the GCD of 854, 862, 709, 728?
GCD of given numbers 854, 862, 709, 728 is 1
2. How to calculate the greatest common divisor of 854, 862, 709, 728?
We can find the highest common divisor of 854, 862, 709, 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 854, 862, 709, 728 i.e 1.
3. How can I use the GCD of 854, 862, 709, 728Calculator?
Out the numbers 854, 862, 709, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.