Online GCD Calculator is useful to find the GCD of 360, 940, 370, 895 quickly. Get the easiest ways to solve the greatest common divisor of 360, 940, 370, 895 i.e 5 in different methods as follows.
Given Input numbers are 360, 940, 370, 895
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 940 :
The positive integer divisors of 940 that completely divides 940 are.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 370 :
The positive integer divisors of 370 that completely divides 370 are.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 895 :
The positive integer divisors of 895 that completely divides 895 are.
1, 5, 179, 895
GCD of numbers is the greatest common divisor
So, the GCD (360, 940, 370, 895) = 5.
Given numbers are 360, 940, 370, 895
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 940 are 2 x 2 x 5 x 47
Prime factors of 370 are 2 x 5 x 37
Prime factors of 895 are 5 x 179
The highest common occurrence is 51
Therefore, GCD of 360, 940, 370, 895 is 5.
Given numbers are 360, 940, 370, 895
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(360, 940) = 16920
GCD(360, 940) = ( 360 x 940 ) / 16920
= 360 / 940
= 360
Step2:
LCM(20, 370) = 740
GCD(20, 370) = ( 20 x 370 ) / 740
= 20 / 370
= 20
Step3:
LCM(10, 895) = 1790
GCD(10, 895) = ( 10 x 895 ) / 1790
= 10 / 895
= 10
So, Greatest Common Divisor of 360, 940, 370, 895 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 360, 940, 370, 895
The greatest common divisor of numbers 360, 940, 370, 895 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 940, 370, 895 is 5.
1. What is the GCD of 360, 940, 370, 895?
GCD of given numbers 360, 940, 370, 895 is 5
2. How to calculate the greatest common divisor of 360, 940, 370, 895?
We can find the highest common divisor of 360, 940, 370, 895 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, 940, 370, 895 i.e 5.
3. How can I use the GCD of 360, 940, 370, 895Calculator?
Out the numbers 360, 940, 370, 895 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.