Online GCD Calculator is useful to find the GCD of 360, 116, 846, 169 quickly. Get the easiest ways to solve the greatest common divisor of 360, 116, 846, 169 i.e 1 in different methods as follows.
Given Input numbers are 360, 116, 846, 169
In the factoring method, we have to find the divisors of all numbers
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
Divisors of 846 :
The positive integer divisors of 846 that completely divides 846 are.
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
Divisors of 169 :
The positive integer divisors of 169 that completely divides 169 are.
1, 13, 169
GCD of numbers is the greatest common divisor
So, the GCD (360, 116, 846, 169) = 1.
Given numbers are 360, 116, 846, 169
The list of prime factors of all numbers are
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 116 are 2 x 2 x 29
Prime factors of 846 are 2 x 3 x 3 x 47
Prime factors of 169 are 13 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 360, 116, 846, 169
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(360, 116) = 10440
GCD(360, 116) = ( 360 x 116 ) / 10440
= 360 / 116
= 360
Step2:
LCM(4, 846) = 1692
GCD(4, 846) = ( 4 x 846 ) / 1692
= 4 / 846
= 4
Step3:
LCM(2, 169) = 338
GCD(2, 169) = ( 2 x 169 ) / 338
= 2 / 169
= 2
So, Greatest Common Divisor of 360, 116, 846, 169 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 360, 116, 846, 169
The greatest common divisor of numbers 360, 116, 846, 169 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 116, 846, 169 is 1.
1. What is the GCD of 360, 116, 846, 169?
GCD of given numbers 360, 116, 846, 169 is 1
2. How to calculate the greatest common divisor of 360, 116, 846, 169?
We can find the highest common divisor of 360, 116, 846, 169 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 360, 116, 846, 169 i.e 1.
3. How can I use the GCD of 360, 116, 846, 169Calculator?
Out the numbers 360, 116, 846, 169 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.