Online GCD Calculator is useful to find the GCD of 676, 648, 564, 254 quickly. Get the easiest ways to solve the greatest common divisor of 676, 648, 564, 254 i.e 2 in different methods as follows.
Given Input numbers are 676, 648, 564, 254
In the factoring method, we have to find the divisors of all numbers
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
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
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 254 :
The positive integer divisors of 254 that completely divides 254 are.
1, 2, 127, 254
GCD of numbers is the greatest common divisor
So, the GCD (676, 648, 564, 254) = 2.
Given numbers are 676, 648, 564, 254
The list of prime factors of all numbers are
Prime factors of 676 are 2 x 2 x 13 x 13
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 254 are 2 x 127
The highest common occurrence is 21
Therefore, GCD of 676, 648, 564, 254 is 2.
Given numbers are 676, 648, 564, 254
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(676, 648) = 109512
GCD(676, 648) = ( 676 x 648 ) / 109512
= 676 / 648
= 676
Step2:
LCM(4, 564) = 564
GCD(4, 564) = ( 4 x 564 ) / 564
= 4 / 564
= 4
Step3:
LCM(4, 254) = 508
GCD(4, 254) = ( 4 x 254 ) / 508
= 4 / 254
= 4
So, Greatest Common Divisor of 676, 648, 564, 254 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 676, 648, 564, 254
The greatest common divisor of numbers 676, 648, 564, 254 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 648, 564, 254 is 2.
1. What is the GCD of 676, 648, 564, 254?
GCD of given numbers 676, 648, 564, 254 is 2
2. How to calculate the greatest common divisor of 676, 648, 564, 254?
We can find the highest common divisor of 676, 648, 564, 254 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 676, 648, 564, 254 i.e 2.
3. How can I use the GCD of 676, 648, 564, 254Calculator?
Out the numbers 676, 648, 564, 254 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.