Online GCD Calculator is useful to find the GCD of 113, 360, 236, 892 quickly. Get the easiest ways to solve the greatest common divisor of 113, 360, 236, 892 i.e 1 in different methods as follows.
Given Input numbers are 113, 360, 236, 892
In the factoring method, we have to find the divisors of all numbers
Divisors of 113 :
The positive integer divisors of 113 that completely divides 113 are.
1, 113
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 236 :
The positive integer divisors of 236 that completely divides 236 are.
1, 2, 4, 59, 118, 236
Divisors of 892 :
The positive integer divisors of 892 that completely divides 892 are.
1, 2, 4, 223, 446, 892
GCD of numbers is the greatest common divisor
So, the GCD (113, 360, 236, 892) = 1.
Given numbers are 113, 360, 236, 892
The list of prime factors of all numbers are
Prime factors of 113 are 113
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 236 are 2 x 2 x 59
Prime factors of 892 are 2 x 2 x 223
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 113, 360, 236, 892
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(113, 360) = 40680
GCD(113, 360) = ( 113 x 360 ) / 40680
= 113 / 360
= 113
Step2:
LCM(1, 236) = 236
GCD(1, 236) = ( 1 x 236 ) / 236
= 1 / 236
= 1
Step3:
LCM(1, 892) = 892
GCD(1, 892) = ( 1 x 892 ) / 892
= 1 / 892
= 1
So, Greatest Common Divisor of 113, 360, 236, 892 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 113, 360, 236, 892
The greatest common divisor of numbers 113, 360, 236, 892 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 113, 360, 236, 892 is 1.
1. What is the GCD of 113, 360, 236, 892?
GCD of given numbers 113, 360, 236, 892 is 1
2. How to calculate the greatest common divisor of 113, 360, 236, 892?
We can find the highest common divisor of 113, 360, 236, 892 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 113, 360, 236, 892 i.e 1.
3. How can I use the GCD of 113, 360, 236, 892Calculator?
Out the numbers 113, 360, 236, 892 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.