Online GCD Calculator is useful to find the GCD of 548, 814, 738, 158 quickly. Get the easiest ways to solve the greatest common divisor of 548, 814, 738, 158 i.e 2 in different methods as follows.
Given Input numbers are 548, 814, 738, 158
In the factoring method, we have to find the divisors of all numbers
Divisors of 548 :
The positive integer divisors of 548 that completely divides 548 are.
1, 2, 4, 137, 274, 548
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 158 :
The positive integer divisors of 158 that completely divides 158 are.
1, 2, 79, 158
GCD of numbers is the greatest common divisor
So, the GCD (548, 814, 738, 158) = 2.
Given numbers are 548, 814, 738, 158
The list of prime factors of all numbers are
Prime factors of 548 are 2 x 2 x 137
Prime factors of 814 are 2 x 11 x 37
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 158 are 2 x 79
The highest common occurrence is 21
Therefore, GCD of 548, 814, 738, 158 is 2.
Given numbers are 548, 814, 738, 158
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(548, 814) = 223036
GCD(548, 814) = ( 548 x 814 ) / 223036
= 548 / 814
= 548
Step2:
LCM(2, 738) = 738
GCD(2, 738) = ( 2 x 738 ) / 738
= 2 / 738
= 2
Step3:
LCM(2, 158) = 158
GCD(2, 158) = ( 2 x 158 ) / 158
= 2 / 158
= 2
So, Greatest Common Divisor of 548, 814, 738, 158 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 548, 814, 738, 158
The greatest common divisor of numbers 548, 814, 738, 158 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 814, 738, 158 is 2.
1. What is the GCD of 548, 814, 738, 158?
GCD of given numbers 548, 814, 738, 158 is 2
2. How to calculate the greatest common divisor of 548, 814, 738, 158?
We can find the highest common divisor of 548, 814, 738, 158 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 548, 814, 738, 158 i.e 2.
3. How can I use the GCD of 548, 814, 738, 158Calculator?
Out the numbers 548, 814, 738, 158 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.