Online GCD Calculator is useful to find the GCD of 648, 286, 802, 746 quickly. Get the easiest ways to solve the greatest common divisor of 648, 286, 802, 746 i.e 2 in different methods as follows.
Given Input numbers are 648, 286, 802, 746
In the factoring method, we have to find the divisors of all numbers
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 286 :
The positive integer divisors of 286 that completely divides 286 are.
1, 2, 11, 13, 22, 26, 143, 286
Divisors of 802 :
The positive integer divisors of 802 that completely divides 802 are.
1, 2, 401, 802
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
GCD of numbers is the greatest common divisor
So, the GCD (648, 286, 802, 746) = 2.
Given numbers are 648, 286, 802, 746
The list of prime factors of all numbers are
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 286 are 2 x 11 x 13
Prime factors of 802 are 2 x 401
Prime factors of 746 are 2 x 373
The highest common occurrence is 21
Therefore, GCD of 648, 286, 802, 746 is 2.
Given numbers are 648, 286, 802, 746
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(648, 286) = 92664
GCD(648, 286) = ( 648 x 286 ) / 92664
= 648 / 286
= 648
Step2:
LCM(2, 802) = 802
GCD(2, 802) = ( 2 x 802 ) / 802
= 2 / 802
= 2
Step3:
LCM(2, 746) = 746
GCD(2, 746) = ( 2 x 746 ) / 746
= 2 / 746
= 2
So, Greatest Common Divisor of 648, 286, 802, 746 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 648, 286, 802, 746
The greatest common divisor of numbers 648, 286, 802, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 648, 286, 802, 746 is 2.
1. What is the GCD of 648, 286, 802, 746?
GCD of given numbers 648, 286, 802, 746 is 2
2. How to calculate the greatest common divisor of 648, 286, 802, 746?
We can find the highest common divisor of 648, 286, 802, 746 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 648, 286, 802, 746 i.e 2.
3. How can I use the GCD of 648, 286, 802, 746Calculator?
Out the numbers 648, 286, 802, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.