Online GCD Calculator is useful to find the GCD of 138, 516, 870, 782 quickly. Get the easiest ways to solve the greatest common divisor of 138, 516, 870, 782 i.e 2 in different methods as follows.
Given Input numbers are 138, 516, 870, 782
In the factoring method, we have to find the divisors of all numbers
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 516 :
The positive integer divisors of 516 that completely divides 516 are.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
Divisors of 870 :
The positive integer divisors of 870 that completely divides 870 are.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Divisors of 782 :
The positive integer divisors of 782 that completely divides 782 are.
1, 2, 17, 23, 34, 46, 391, 782
GCD of numbers is the greatest common divisor
So, the GCD (138, 516, 870, 782) = 2.
Given numbers are 138, 516, 870, 782
The list of prime factors of all numbers are
Prime factors of 138 are 2 x 3 x 23
Prime factors of 516 are 2 x 2 x 3 x 43
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 782 are 2 x 17 x 23
The highest common occurrence is 21
Therefore, GCD of 138, 516, 870, 782 is 2.
Given numbers are 138, 516, 870, 782
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(138, 516) = 11868
GCD(138, 516) = ( 138 x 516 ) / 11868
= 138 / 516
= 138
Step2:
LCM(6, 870) = 870
GCD(6, 870) = ( 6 x 870 ) / 870
= 6 / 870
= 6
Step3:
LCM(6, 782) = 2346
GCD(6, 782) = ( 6 x 782 ) / 2346
= 6 / 782
= 6
So, Greatest Common Divisor of 138, 516, 870, 782 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 138, 516, 870, 782
The greatest common divisor of numbers 138, 516, 870, 782 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 516, 870, 782 is 2.
1. What is the GCD of 138, 516, 870, 782?
GCD of given numbers 138, 516, 870, 782 is 2
2. How to calculate the greatest common divisor of 138, 516, 870, 782?
We can find the highest common divisor of 138, 516, 870, 782 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 138, 516, 870, 782 i.e 2.
3. How can I use the GCD of 138, 516, 870, 782Calculator?
Out the numbers 138, 516, 870, 782 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.