Online GCD Calculator is useful to find the GCD of 782, 726, 138 quickly. Get the easiest ways to solve the greatest common divisor of 782, 726, 138 i.e 2 in different methods as follows.
Given Input numbers are 782, 726, 138
In the factoring method, we have to find the divisors of all numbers
Divisors of 782 :
The positive integer divisors of 782 that completely divides 782 are.
1, 2, 17, 23, 34, 46, 391, 782
Divisors of 726 :
The positive integer divisors of 726 that completely divides 726 are.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
GCD of numbers is the greatest common divisor
So, the GCD (782, 726, 138) = 2.
Given numbers are 782, 726, 138
The list of prime factors of all numbers are
Prime factors of 782 are 2 x 17 x 23
Prime factors of 726 are 2 x 3 x 11 x 11
Prime factors of 138 are 2 x 3 x 23
The highest common occurrence is 21
Therefore, GCD of 782, 726, 138 is 2.
Given numbers are 782, 726, 138
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(782, 726) = 283866
GCD(782, 726) = ( 782 x 726 ) / 283866
= 782 / 726
= 782
Step2:
LCM(2, 138) = 138
GCD(2, 138) = ( 2 x 138 ) / 138
= 2 / 138
= 2
So, Greatest Common Divisor of 782, 726, 138 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 782, 726, 138
The greatest common divisor of numbers 782, 726, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 726, 138 is 2.
1. What is the GCD of 782, 726, 138?
GCD of given numbers 782, 726, 138 is 2
2. How to calculate the greatest common divisor of 782, 726, 138?
We can find the highest common divisor of 782, 726, 138 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 782, 726, 138 i.e 2.
3. How can I use the GCD of 782, 726, 138Calculator?
Out the numbers 782, 726, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.