Online GCD Calculator is useful to find the GCD of 849, 178, 972, 687 quickly. Get the easiest ways to solve the greatest common divisor of 849, 178, 972, 687 i.e 1 in different methods as follows.
Given Input numbers are 849, 178, 972, 687
In the factoring method, we have to find the divisors of all numbers
Divisors of 849 :
The positive integer divisors of 849 that completely divides 849 are.
1, 3, 283, 849
Divisors of 178 :
The positive integer divisors of 178 that completely divides 178 are.
1, 2, 89, 178
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
GCD of numbers is the greatest common divisor
So, the GCD (849, 178, 972, 687) = 1.
Given numbers are 849, 178, 972, 687
The list of prime factors of all numbers are
Prime factors of 849 are 3 x 283
Prime factors of 178 are 2 x 89
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 687 are 3 x 229
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 849, 178, 972, 687
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(849, 178) = 151122
GCD(849, 178) = ( 849 x 178 ) / 151122
= 849 / 178
= 849
Step2:
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
= 1 / 972
= 1
Step3:
LCM(1, 687) = 687
GCD(1, 687) = ( 1 x 687 ) / 687
= 1 / 687
= 1
So, Greatest Common Divisor of 849, 178, 972, 687 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 849, 178, 972, 687
The greatest common divisor of numbers 849, 178, 972, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 849, 178, 972, 687 is 1.
1. What is the GCD of 849, 178, 972, 687?
GCD of given numbers 849, 178, 972, 687 is 1
2. How to calculate the greatest common divisor of 849, 178, 972, 687?
We can find the highest common divisor of 849, 178, 972, 687 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 849, 178, 972, 687 i.e 1.
3. How can I use the GCD of 849, 178, 972, 687Calculator?
Out the numbers 849, 178, 972, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.