Online GCD Calculator is useful to find the GCD of 208, 825, 938, 378 quickly. Get the easiest ways to solve the greatest common divisor of 208, 825, 938, 378 i.e 1 in different methods as follows.
Given Input numbers are 208, 825, 938, 378
In the factoring method, we have to find the divisors of all numbers
Divisors of 208 :
The positive integer divisors of 208 that completely divides 208 are.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
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
Divisors of 938 :
The positive integer divisors of 938 that completely divides 938 are.
1, 2, 7, 14, 67, 134, 469, 938
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
GCD of numbers is the greatest common divisor
So, the GCD (208, 825, 938, 378) = 1.
Given numbers are 208, 825, 938, 378
The list of prime factors of all numbers are
Prime factors of 208 are 2 x 2 x 2 x 2 x 13
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 938 are 2 x 7 x 67
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 208, 825, 938, 378
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(208, 825) = 171600
GCD(208, 825) = ( 208 x 825 ) / 171600
= 208 / 825
= 208
Step2:
LCM(1, 938) = 938
GCD(1, 938) = ( 1 x 938 ) / 938
= 1 / 938
= 1
Step3:
LCM(1, 378) = 378
GCD(1, 378) = ( 1 x 378 ) / 378
= 1 / 378
= 1
So, Greatest Common Divisor of 208, 825, 938, 378 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 208, 825, 938, 378
The greatest common divisor of numbers 208, 825, 938, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 825, 938, 378 is 1.
1. What is the GCD of 208, 825, 938, 378?
GCD of given numbers 208, 825, 938, 378 is 1
2. How to calculate the greatest common divisor of 208, 825, 938, 378?
We can find the highest common divisor of 208, 825, 938, 378 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 208, 825, 938, 378 i.e 1.
3. How can I use the GCD of 208, 825, 938, 378Calculator?
Out the numbers 208, 825, 938, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.