Online GCD Calculator is useful to find the GCD of 296, 942, 731, 170 quickly. Get the easiest ways to solve the greatest common divisor of 296, 942, 731, 170 i.e 1 in different methods as follows.
Given Input numbers are 296, 942, 731, 170
In the factoring method, we have to find the divisors of all numbers
Divisors of 296 :
The positive integer divisors of 296 that completely divides 296 are.
1, 2, 4, 8, 37, 74, 148, 296
Divisors of 942 :
The positive integer divisors of 942 that completely divides 942 are.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 731 :
The positive integer divisors of 731 that completely divides 731 are.
1, 17, 43, 731
Divisors of 170 :
The positive integer divisors of 170 that completely divides 170 are.
1, 2, 5, 10, 17, 34, 85, 170
GCD of numbers is the greatest common divisor
So, the GCD (296, 942, 731, 170) = 1.
Given numbers are 296, 942, 731, 170
The list of prime factors of all numbers are
Prime factors of 296 are 2 x 2 x 2 x 37
Prime factors of 942 are 2 x 3 x 157
Prime factors of 731 are 17 x 43
Prime factors of 170 are 2 x 5 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 296, 942, 731, 170
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(296, 942) = 139416
GCD(296, 942) = ( 296 x 942 ) / 139416
= 296 / 942
= 296
Step2:
LCM(2, 731) = 1462
GCD(2, 731) = ( 2 x 731 ) / 1462
= 2 / 731
= 2
Step3:
LCM(1, 170) = 170
GCD(1, 170) = ( 1 x 170 ) / 170
= 1 / 170
= 1
So, Greatest Common Divisor of 296, 942, 731, 170 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 296, 942, 731, 170
The greatest common divisor of numbers 296, 942, 731, 170 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 296, 942, 731, 170 is 1.
1. What is the GCD of 296, 942, 731, 170?
GCD of given numbers 296, 942, 731, 170 is 1
2. How to calculate the greatest common divisor of 296, 942, 731, 170?
We can find the highest common divisor of 296, 942, 731, 170 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 296, 942, 731, 170 i.e 1.
3. How can I use the GCD of 296, 942, 731, 170Calculator?
Out the numbers 296, 942, 731, 170 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.