Online GCD Calculator is useful to find the GCD of 138, 852, 650, 668 quickly. Get the easiest ways to solve the greatest common divisor of 138, 852, 650, 668 i.e 2 in different methods as follows.
Given Input numbers are 138, 852, 650, 668
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 852 :
The positive integer divisors of 852 that completely divides 852 are.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 650 :
The positive integer divisors of 650 that completely divides 650 are.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
Divisors of 668 :
The positive integer divisors of 668 that completely divides 668 are.
1, 2, 4, 167, 334, 668
GCD of numbers is the greatest common divisor
So, the GCD (138, 852, 650, 668) = 2.
Given numbers are 138, 852, 650, 668
The list of prime factors of all numbers are
Prime factors of 138 are 2 x 3 x 23
Prime factors of 852 are 2 x 2 x 3 x 71
Prime factors of 650 are 2 x 5 x 5 x 13
Prime factors of 668 are 2 x 2 x 167
The highest common occurrence is 21
Therefore, GCD of 138, 852, 650, 668 is 2.
Given numbers are 138, 852, 650, 668
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(138, 852) = 19596
GCD(138, 852) = ( 138 x 852 ) / 19596
= 138 / 852
= 138
Step2:
LCM(6, 650) = 1950
GCD(6, 650) = ( 6 x 650 ) / 1950
= 6 / 650
= 6
Step3:
LCM(2, 668) = 668
GCD(2, 668) = ( 2 x 668 ) / 668
= 2 / 668
= 2
So, Greatest Common Divisor of 138, 852, 650, 668 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 138, 852, 650, 668
The greatest common divisor of numbers 138, 852, 650, 668 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 852, 650, 668 is 2.
1. What is the GCD of 138, 852, 650, 668?
GCD of given numbers 138, 852, 650, 668 is 2
2. How to calculate the greatest common divisor of 138, 852, 650, 668?
We can find the highest common divisor of 138, 852, 650, 668 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, 852, 650, 668 i.e 2.
3. How can I use the GCD of 138, 852, 650, 668Calculator?
Out the numbers 138, 852, 650, 668 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.