Online GCD Calculator is useful to find the GCD of 790, 756, 134, 378 quickly. Get the easiest ways to solve the greatest common divisor of 790, 756, 134, 378 i.e 2 in different methods as follows.
Given Input numbers are 790, 756, 134, 378
In the factoring method, we have to find the divisors of all numbers
Divisors of 790 :
The positive integer divisors of 790 that completely divides 790 are.
1, 2, 5, 10, 79, 158, 395, 790
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 134 :
The positive integer divisors of 134 that completely divides 134 are.
1, 2, 67, 134
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 (790, 756, 134, 378) = 2.
Given numbers are 790, 756, 134, 378
The list of prime factors of all numbers are
Prime factors of 790 are 2 x 5 x 79
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 134 are 2 x 67
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 790, 756, 134, 378 is 2.
Given numbers are 790, 756, 134, 378
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(790, 756) = 298620
GCD(790, 756) = ( 790 x 756 ) / 298620
= 790 / 756
= 790
Step2:
LCM(2, 134) = 134
GCD(2, 134) = ( 2 x 134 ) / 134
= 2 / 134
= 2
Step3:
LCM(2, 378) = 378
GCD(2, 378) = ( 2 x 378 ) / 378
= 2 / 378
= 2
So, Greatest Common Divisor of 790, 756, 134, 378 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 790, 756, 134, 378
The greatest common divisor of numbers 790, 756, 134, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 790, 756, 134, 378 is 2.
1. What is the GCD of 790, 756, 134, 378?
GCD of given numbers 790, 756, 134, 378 is 2
2. How to calculate the greatest common divisor of 790, 756, 134, 378?
We can find the highest common divisor of 790, 756, 134, 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 790, 756, 134, 378 i.e 2.
3. How can I use the GCD of 790, 756, 134, 378Calculator?
Out the numbers 790, 756, 134, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.