Online GCD Calculator is useful to find the GCD of 940, 120, 860, 825 quickly. Get the easiest ways to solve the greatest common divisor of 940, 120, 860, 825 i.e 5 in different methods as follows.
Given Input numbers are 940, 120, 860, 825
In the factoring method, we have to find the divisors of all numbers
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 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 860 :
The positive integer divisors of 860 that completely divides 860 are.
1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
Divisors of 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
GCD of numbers is the greatest common divisor
So, the GCD (940, 120, 860, 825) = 5.
Given numbers are 940, 120, 860, 825
The list of prime factors of all numbers are
Prime factors of 940 are 2 x 2 x 5 x 47
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 860 are 2 x 2 x 5 x 43
Prime factors of 825 are 3 x 5 x 5 x 11
The highest common occurrence is 51
Therefore, GCD of 940, 120, 860, 825 is 5.
Given numbers are 940, 120, 860, 825
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(940, 120) = 5640
GCD(940, 120) = ( 940 x 120 ) / 5640
= 940 / 120
= 940
Step2:
LCM(20, 860) = 860
GCD(20, 860) = ( 20 x 860 ) / 860
= 20 / 860
= 20
Step3:
LCM(20, 825) = 3300
GCD(20, 825) = ( 20 x 825 ) / 3300
= 20 / 825
= 20
So, Greatest Common Divisor of 940, 120, 860, 825 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 940, 120, 860, 825
The greatest common divisor of numbers 940, 120, 860, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 940, 120, 860, 825 is 5.
1. What is the GCD of 940, 120, 860, 825?
GCD of given numbers 940, 120, 860, 825 is 5
2. How to calculate the greatest common divisor of 940, 120, 860, 825?
We can find the highest common divisor of 940, 120, 860, 825 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 940, 120, 860, 825 i.e 5.
3. How can I use the GCD of 940, 120, 860, 825Calculator?
Out the numbers 940, 120, 860, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.