Online GCD Calculator is useful to find the GCD of 548, 610, 702, 648 quickly. Get the easiest ways to solve the greatest common divisor of 548, 610, 702, 648 i.e 2 in different methods as follows.
Given Input numbers are 548, 610, 702, 648
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 610 :
The positive integer divisors of 610 that completely divides 610 are.
1, 2, 5, 10, 61, 122, 305, 610
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
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 (548, 610, 702, 648) = 2.
Given numbers are 548, 610, 702, 648
The list of prime factors of all numbers are
Prime factors of 548 are 2 x 2 x 137
Prime factors of 610 are 2 x 5 x 61
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
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 548, 610, 702, 648 is 2.
Given numbers are 548, 610, 702, 648
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(548, 610) = 167140
GCD(548, 610) = ( 548 x 610 ) / 167140
= 548 / 610
= 548
Step2:
LCM(2, 702) = 702
GCD(2, 702) = ( 2 x 702 ) / 702
= 2 / 702
= 2
Step3:
LCM(2, 648) = 648
GCD(2, 648) = ( 2 x 648 ) / 648
= 2 / 648
= 2
So, Greatest Common Divisor of 548, 610, 702, 648 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 548, 610, 702, 648
The greatest common divisor of numbers 548, 610, 702, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 610, 702, 648 is 2.
1. What is the GCD of 548, 610, 702, 648?
GCD of given numbers 548, 610, 702, 648 is 2
2. How to calculate the greatest common divisor of 548, 610, 702, 648?
We can find the highest common divisor of 548, 610, 702, 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 548, 610, 702, 648 i.e 2.
3. How can I use the GCD of 548, 610, 702, 648Calculator?
Out the numbers 548, 610, 702, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.