Online GCD Calculator is useful to find the GCD of 942, 489, 715, 361 quickly. Get the easiest ways to solve the greatest common divisor of 942, 489, 715, 361 i.e 1 in different methods as follows.
Given Input numbers are 942, 489, 715, 361
In the factoring method, we have to find the divisors of all numbers
Divisors of 942 :
The positive integer divisors of 942 that completely divides 942 are.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 489 :
The positive integer divisors of 489 that completely divides 489 are.
1, 3, 163, 489
Divisors of 715 :
The positive integer divisors of 715 that completely divides 715 are.
1, 5, 11, 13, 55, 65, 143, 715
Divisors of 361 :
The positive integer divisors of 361 that completely divides 361 are.
1, 19, 361
GCD of numbers is the greatest common divisor
So, the GCD (942, 489, 715, 361) = 1.
Given numbers are 942, 489, 715, 361
The list of prime factors of all numbers are
Prime factors of 942 are 2 x 3 x 157
Prime factors of 489 are 3 x 163
Prime factors of 715 are 5 x 11 x 13
Prime factors of 361 are 19 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 942, 489, 715, 361
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(942, 489) = 153546
GCD(942, 489) = ( 942 x 489 ) / 153546
= 942 / 489
= 942
Step2:
LCM(3, 715) = 2145
GCD(3, 715) = ( 3 x 715 ) / 2145
= 3 / 715
= 3
Step3:
LCM(1, 361) = 361
GCD(1, 361) = ( 1 x 361 ) / 361
= 1 / 361
= 1
So, Greatest Common Divisor of 942, 489, 715, 361 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 942, 489, 715, 361
The greatest common divisor of numbers 942, 489, 715, 361 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 942, 489, 715, 361 is 1.
1. What is the GCD of 942, 489, 715, 361?
GCD of given numbers 942, 489, 715, 361 is 1
2. How to calculate the greatest common divisor of 942, 489, 715, 361?
We can find the highest common divisor of 942, 489, 715, 361 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 942, 489, 715, 361 i.e 1.
3. How can I use the GCD of 942, 489, 715, 361Calculator?
Out the numbers 942, 489, 715, 361 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.