Online GCD Calculator is useful to find the GCD of 196, 544, 730, 648 quickly. Get the easiest ways to solve the greatest common divisor of 196, 544, 730, 648 i.e 2 in different methods as follows.
Given Input numbers are 196, 544, 730, 648
In the factoring method, we have to find the divisors of all numbers
Divisors of 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 544 :
The positive integer divisors of 544 that completely divides 544 are.
1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
Divisors of 730 :
The positive integer divisors of 730 that completely divides 730 are.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 648 :
The positive integer divisors of 648 that completely divides 648 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
GCD of numbers is the greatest common divisor
So, the GCD (196, 544, 730, 648) = 2.
Given numbers are 196, 544, 730, 648
The list of prime factors of all numbers are
Prime factors of 196 are 2 x 2 x 7 x 7
Prime factors of 544 are 2 x 2 x 2 x 2 x 2 x 17
Prime factors of 730 are 2 x 5 x 73
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 196, 544, 730, 648 is 2.
Given numbers are 196, 544, 730, 648
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(196, 544) = 26656
GCD(196, 544) = ( 196 x 544 ) / 26656
= 196 / 544
= 196
Step2:
LCM(4, 730) = 1460
GCD(4, 730) = ( 4 x 730 ) / 1460
= 4 / 730
= 4
Step3:
LCM(2, 648) = 648
GCD(2, 648) = ( 2 x 648 ) / 648
= 2 / 648
= 2
So, Greatest Common Divisor of 196, 544, 730, 648 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 196, 544, 730, 648
The greatest common divisor of numbers 196, 544, 730, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 196, 544, 730, 648 is 2.
1. What is the GCD of 196, 544, 730, 648?
GCD of given numbers 196, 544, 730, 648 is 2
2. How to calculate the greatest common divisor of 196, 544, 730, 648?
We can find the highest common divisor of 196, 544, 730, 648 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 196, 544, 730, 648 i.e 2.
3. How can I use the GCD of 196, 544, 730, 648Calculator?
Out the numbers 196, 544, 730, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.