Online GCD Calculator is useful to find the GCD of 138, 807, 495, 363 quickly. Get the easiest ways to solve the greatest common divisor of 138, 807, 495, 363 i.e 3 in different methods as follows.
Given Input numbers are 138, 807, 495, 363
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 807 :
The positive integer divisors of 807 that completely divides 807 are.
1, 3, 269, 807
Divisors of 495 :
The positive integer divisors of 495 that completely divides 495 are.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Divisors of 363 :
The positive integer divisors of 363 that completely divides 363 are.
1, 3, 11, 33, 121, 363
GCD of numbers is the greatest common divisor
So, the GCD (138, 807, 495, 363) = 3.
Given numbers are 138, 807, 495, 363
The list of prime factors of all numbers are
Prime factors of 138 are 2 x 3 x 23
Prime factors of 807 are 3 x 269
Prime factors of 495 are 3 x 3 x 5 x 11
Prime factors of 363 are 3 x 11 x 11
The highest common occurrence is 31
Therefore, GCD of 138, 807, 495, 363 is 3.
Given numbers are 138, 807, 495, 363
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(138, 807) = 37122
GCD(138, 807) = ( 138 x 807 ) / 37122
= 138 / 807
= 138
Step2:
LCM(3, 495) = 495
GCD(3, 495) = ( 3 x 495 ) / 495
= 3 / 495
= 3
Step3:
LCM(3, 363) = 363
GCD(3, 363) = ( 3 x 363 ) / 363
= 3 / 363
= 3
So, Greatest Common Divisor of 138, 807, 495, 363 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 138, 807, 495, 363
The greatest common divisor of numbers 138, 807, 495, 363 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 807, 495, 363 is 3.
1. What is the GCD of 138, 807, 495, 363?
GCD of given numbers 138, 807, 495, 363 is 3
2. How to calculate the greatest common divisor of 138, 807, 495, 363?
We can find the highest common divisor of 138, 807, 495, 363 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, 807, 495, 363 i.e 3.
3. How can I use the GCD of 138, 807, 495, 363Calculator?
Out the numbers 138, 807, 495, 363 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.