Online GCD Calculator is useful to find the GCD of 308, 378, 126, 734 quickly. Get the easiest ways to solve the greatest common divisor of 308, 378, 126, 734 i.e 2 in different methods as follows.
Given Input numbers are 308, 378, 126, 734
In the factoring method, we have to find the divisors of all numbers
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
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 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 734 :
The positive integer divisors of 734 that completely divides 734 are.
1, 2, 367, 734
GCD of numbers is the greatest common divisor
So, the GCD (308, 378, 126, 734) = 2.
Given numbers are 308, 378, 126, 734
The list of prime factors of all numbers are
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 734 are 2 x 367
The highest common occurrence is 21
Therefore, GCD of 308, 378, 126, 734 is 2.
Given numbers are 308, 378, 126, 734
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(308, 378) = 8316
GCD(308, 378) = ( 308 x 378 ) / 8316
= 308 / 378
= 308
Step2:
LCM(14, 126) = 126
GCD(14, 126) = ( 14 x 126 ) / 126
= 14 / 126
= 14
Step3:
LCM(14, 734) = 5138
GCD(14, 734) = ( 14 x 734 ) / 5138
= 14 / 734
= 14
So, Greatest Common Divisor of 308, 378, 126, 734 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 308, 378, 126, 734
The greatest common divisor of numbers 308, 378, 126, 734 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 378, 126, 734 is 2.
1. What is the GCD of 308, 378, 126, 734?
GCD of given numbers 308, 378, 126, 734 is 2
2. How to calculate the greatest common divisor of 308, 378, 126, 734?
We can find the highest common divisor of 308, 378, 126, 734 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 308, 378, 126, 734 i.e 2.
3. How can I use the GCD of 308, 378, 126, 734Calculator?
Out the numbers 308, 378, 126, 734 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.