Online GCD Calculator is useful to find the GCD of 849, 315, 731, 970 quickly. Get the easiest ways to solve the greatest common divisor of 849, 315, 731, 970 i.e 1 in different methods as follows.
Given Input numbers are 849, 315, 731, 970
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 315 :
The positive integer divisors of 315 that completely divides 315 are.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 731 :
The positive integer divisors of 731 that completely divides 731 are.
1, 17, 43, 731
Divisors of 970 :
The positive integer divisors of 970 that completely divides 970 are.
1, 2, 5, 10, 97, 194, 485, 970
GCD of numbers is the greatest common divisor
So, the GCD (849, 315, 731, 970) = 1.
Given numbers are 849, 315, 731, 970
The list of prime factors of all numbers are
Prime factors of 849 are 3 x 283
Prime factors of 315 are 3 x 3 x 5 x 7
Prime factors of 731 are 17 x 43
Prime factors of 970 are 2 x 5 x 97
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 849, 315, 731, 970
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(849, 315) = 89145
GCD(849, 315) = ( 849 x 315 ) / 89145
= 849 / 315
= 849
Step2:
LCM(3, 731) = 2193
GCD(3, 731) = ( 3 x 731 ) / 2193
= 3 / 731
= 3
Step3:
LCM(1, 970) = 970
GCD(1, 970) = ( 1 x 970 ) / 970
= 1 / 970
= 1
So, Greatest Common Divisor of 849, 315, 731, 970 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 849, 315, 731, 970
The greatest common divisor of numbers 849, 315, 731, 970 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 849, 315, 731, 970 is 1.
1. What is the GCD of 849, 315, 731, 970?
GCD of given numbers 849, 315, 731, 970 is 1
2. How to calculate the greatest common divisor of 849, 315, 731, 970?
We can find the highest common divisor of 849, 315, 731, 970 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, 315, 731, 970 i.e 1.
3. How can I use the GCD of 849, 315, 731, 970Calculator?
Out the numbers 849, 315, 731, 970 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.