Online GCD Calculator is useful to find the GCD of 548, 368, 782, 608 quickly. Get the easiest ways to solve the greatest common divisor of 548, 368, 782, 608 i.e 2 in different methods as follows.
Given Input numbers are 548, 368, 782, 608
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 368 :
The positive integer divisors of 368 that completely divides 368 are.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Divisors of 782 :
The positive integer divisors of 782 that completely divides 782 are.
1, 2, 17, 23, 34, 46, 391, 782
Divisors of 608 :
The positive integer divisors of 608 that completely divides 608 are.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
GCD of numbers is the greatest common divisor
So, the GCD (548, 368, 782, 608) = 2.
Given numbers are 548, 368, 782, 608
The list of prime factors of all numbers are
Prime factors of 548 are 2 x 2 x 137
Prime factors of 368 are 2 x 2 x 2 x 2 x 23
Prime factors of 782 are 2 x 17 x 23
Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19
The highest common occurrence is 21
Therefore, GCD of 548, 368, 782, 608 is 2.
Given numbers are 548, 368, 782, 608
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(548, 368) = 50416
GCD(548, 368) = ( 548 x 368 ) / 50416
= 548 / 368
= 548
Step2:
LCM(4, 782) = 1564
GCD(4, 782) = ( 4 x 782 ) / 1564
= 4 / 782
= 4
Step3:
LCM(2, 608) = 608
GCD(2, 608) = ( 2 x 608 ) / 608
= 2 / 608
= 2
So, Greatest Common Divisor of 548, 368, 782, 608 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 548, 368, 782, 608
The greatest common divisor of numbers 548, 368, 782, 608 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 368, 782, 608 is 2.
1. What is the GCD of 548, 368, 782, 608?
GCD of given numbers 548, 368, 782, 608 is 2
2. How to calculate the greatest common divisor of 548, 368, 782, 608?
We can find the highest common divisor of 548, 368, 782, 608 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, 368, 782, 608 i.e 2.
3. How can I use the GCD of 548, 368, 782, 608Calculator?
Out the numbers 548, 368, 782, 608 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.