Online GCD Calculator is useful to find the GCD of 548, 880, 658, 494 quickly. Get the easiest ways to solve the greatest common divisor of 548, 880, 658, 494 i.e 2 in different methods as follows.
Given Input numbers are 548, 880, 658, 494
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 880 :
The positive integer divisors of 880 that completely divides 880 are.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
Divisors of 658 :
The positive integer divisors of 658 that completely divides 658 are.
1, 2, 7, 14, 47, 94, 329, 658
Divisors of 494 :
The positive integer divisors of 494 that completely divides 494 are.
1, 2, 13, 19, 26, 38, 247, 494
GCD of numbers is the greatest common divisor
So, the GCD (548, 880, 658, 494) = 2.
Given numbers are 548, 880, 658, 494
The list of prime factors of all numbers are
Prime factors of 548 are 2 x 2 x 137
Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11
Prime factors of 658 are 2 x 7 x 47
Prime factors of 494 are 2 x 13 x 19
The highest common occurrence is 21
Therefore, GCD of 548, 880, 658, 494 is 2.
Given numbers are 548, 880, 658, 494
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(548, 880) = 120560
GCD(548, 880) = ( 548 x 880 ) / 120560
= 548 / 880
= 548
Step2:
LCM(4, 658) = 1316
GCD(4, 658) = ( 4 x 658 ) / 1316
= 4 / 658
= 4
Step3:
LCM(2, 494) = 494
GCD(2, 494) = ( 2 x 494 ) / 494
= 2 / 494
= 2
So, Greatest Common Divisor of 548, 880, 658, 494 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 548, 880, 658, 494
The greatest common divisor of numbers 548, 880, 658, 494 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 880, 658, 494 is 2.
1. What is the GCD of 548, 880, 658, 494?
GCD of given numbers 548, 880, 658, 494 is 2
2. How to calculate the greatest common divisor of 548, 880, 658, 494?
We can find the highest common divisor of 548, 880, 658, 494 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, 880, 658, 494 i.e 2.
3. How can I use the GCD of 548, 880, 658, 494Calculator?
Out the numbers 548, 880, 658, 494 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.