Online GCD Calculator is useful to find the GCD of 812, 378, 637, 138 quickly. Get the easiest ways to solve the greatest common divisor of 812, 378, 637, 138 i.e 1 in different methods as follows.
Given Input numbers are 812, 378, 637, 138
In the factoring method, we have to find the divisors of all numbers
Divisors of 812 :
The positive integer divisors of 812 that completely divides 812 are.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
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
Divisors of 637 :
The positive integer divisors of 637 that completely divides 637 are.
1, 7, 13, 49, 91, 637
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
GCD of numbers is the greatest common divisor
So, the GCD (812, 378, 637, 138) = 1.
Given numbers are 812, 378, 637, 138
The list of prime factors of all numbers are
Prime factors of 812 are 2 x 2 x 7 x 29
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 637 are 7 x 7 x 13
Prime factors of 138 are 2 x 3 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 812, 378, 637, 138
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(812, 378) = 21924
GCD(812, 378) = ( 812 x 378 ) / 21924
= 812 / 378
= 812
Step2:
LCM(14, 637) = 1274
GCD(14, 637) = ( 14 x 637 ) / 1274
= 14 / 637
= 14
Step3:
LCM(7, 138) = 966
GCD(7, 138) = ( 7 x 138 ) / 966
= 7 / 138
= 7
So, Greatest Common Divisor of 812, 378, 637, 138 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 812, 378, 637, 138
The greatest common divisor of numbers 812, 378, 637, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 812, 378, 637, 138 is 1.
1. What is the GCD of 812, 378, 637, 138?
GCD of given numbers 812, 378, 637, 138 is 1
2. How to calculate the greatest common divisor of 812, 378, 637, 138?
We can find the highest common divisor of 812, 378, 637, 138 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 812, 378, 637, 138 i.e 1.
3. How can I use the GCD of 812, 378, 637, 138Calculator?
Out the numbers 812, 378, 637, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.