Online GCD Calculator is useful to find the GCD of 725, 940, 938, 982 quickly. Get the easiest ways to solve the greatest common divisor of 725, 940, 938, 982 i.e 1 in different methods as follows.
Given Input numbers are 725, 940, 938, 982
In the factoring method, we have to find the divisors of all numbers
Divisors of 725 :
The positive integer divisors of 725 that completely divides 725 are.
1, 5, 25, 29, 145, 725
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 938 :
The positive integer divisors of 938 that completely divides 938 are.
1, 2, 7, 14, 67, 134, 469, 938
Divisors of 982 :
The positive integer divisors of 982 that completely divides 982 are.
1, 2, 491, 982
GCD of numbers is the greatest common divisor
So, the GCD (725, 940, 938, 982) = 1.
Given numbers are 725, 940, 938, 982
The list of prime factors of all numbers are
Prime factors of 725 are 5 x 5 x 29
Prime factors of 940 are 2 x 2 x 5 x 47
Prime factors of 938 are 2 x 7 x 67
Prime factors of 982 are 2 x 491
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 725, 940, 938, 982
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(725, 940) = 136300
GCD(725, 940) = ( 725 x 940 ) / 136300
= 725 / 940
= 725
Step2:
LCM(5, 938) = 4690
GCD(5, 938) = ( 5 x 938 ) / 4690
= 5 / 938
= 5
Step3:
LCM(1, 982) = 982
GCD(1, 982) = ( 1 x 982 ) / 982
= 1 / 982
= 1
So, Greatest Common Divisor of 725, 940, 938, 982 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 725, 940, 938, 982
The greatest common divisor of numbers 725, 940, 938, 982 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 725, 940, 938, 982 is 1.
1. What is the GCD of 725, 940, 938, 982?
GCD of given numbers 725, 940, 938, 982 is 1
2. How to calculate the greatest common divisor of 725, 940, 938, 982?
We can find the highest common divisor of 725, 940, 938, 982 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 725, 940, 938, 982 i.e 1.
3. How can I use the GCD of 725, 940, 938, 982Calculator?
Out the numbers 725, 940, 938, 982 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.