Online GCD Calculator is useful to find the GCD of 548, 418, 264, 156 quickly. Get the easiest ways to solve the greatest common divisor of 548, 418, 264, 156 i.e 2 in different methods as follows.
Given Input numbers are 548, 418, 264, 156
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 418 :
The positive integer divisors of 418 that completely divides 418 are.
1, 2, 11, 19, 22, 38, 209, 418
Divisors of 264 :
The positive integer divisors of 264 that completely divides 264 are.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Divisors of 156 :
The positive integer divisors of 156 that completely divides 156 are.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
GCD of numbers is the greatest common divisor
So, the GCD (548, 418, 264, 156) = 2.
Given numbers are 548, 418, 264, 156
The list of prime factors of all numbers are
Prime factors of 548 are 2 x 2 x 137
Prime factors of 418 are 2 x 11 x 19
Prime factors of 264 are 2 x 2 x 2 x 3 x 11
Prime factors of 156 are 2 x 2 x 3 x 13
The highest common occurrence is 21
Therefore, GCD of 548, 418, 264, 156 is 2.
Given numbers are 548, 418, 264, 156
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(548, 418) = 114532
GCD(548, 418) = ( 548 x 418 ) / 114532
= 548 / 418
= 548
Step2:
LCM(2, 264) = 264
GCD(2, 264) = ( 2 x 264 ) / 264
= 2 / 264
= 2
Step3:
LCM(2, 156) = 156
GCD(2, 156) = ( 2 x 156 ) / 156
= 2 / 156
= 2
So, Greatest Common Divisor of 548, 418, 264, 156 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 548, 418, 264, 156
The greatest common divisor of numbers 548, 418, 264, 156 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 418, 264, 156 is 2.
1. What is the GCD of 548, 418, 264, 156?
GCD of given numbers 548, 418, 264, 156 is 2
2. How to calculate the greatest common divisor of 548, 418, 264, 156?
We can find the highest common divisor of 548, 418, 264, 156 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, 418, 264, 156 i.e 2.
3. How can I use the GCD of 548, 418, 264, 156Calculator?
Out the numbers 548, 418, 264, 156 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.