Online GCD Calculator is useful to find the GCD of 144, 126, 662, 502 quickly. Get the easiest ways to solve the greatest common divisor of 144, 126, 662, 502 i.e 2 in different methods as follows.
Given Input numbers are 144, 126, 662, 502
In the factoring method, we have to find the divisors of all numbers
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 662 :
The positive integer divisors of 662 that completely divides 662 are.
1, 2, 331, 662
Divisors of 502 :
The positive integer divisors of 502 that completely divides 502 are.
1, 2, 251, 502
GCD of numbers is the greatest common divisor
So, the GCD (144, 126, 662, 502) = 2.
Given numbers are 144, 126, 662, 502
The list of prime factors of all numbers are
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 662 are 2 x 331
Prime factors of 502 are 2 x 251
The highest common occurrence is 21
Therefore, GCD of 144, 126, 662, 502 is 2.
Given numbers are 144, 126, 662, 502
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(144, 126) = 1008
GCD(144, 126) = ( 144 x 126 ) / 1008
= 144 / 126
= 144
Step2:
LCM(18, 662) = 5958
GCD(18, 662) = ( 18 x 662 ) / 5958
= 18 / 662
= 18
Step3:
LCM(2, 502) = 502
GCD(2, 502) = ( 2 x 502 ) / 502
= 2 / 502
= 2
So, Greatest Common Divisor of 144, 126, 662, 502 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 144, 126, 662, 502
The greatest common divisor of numbers 144, 126, 662, 502 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 126, 662, 502 is 2.
1. What is the GCD of 144, 126, 662, 502?
GCD of given numbers 144, 126, 662, 502 is 2
2. How to calculate the greatest common divisor of 144, 126, 662, 502?
We can find the highest common divisor of 144, 126, 662, 502 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 144, 126, 662, 502 i.e 2.
3. How can I use the GCD of 144, 126, 662, 502Calculator?
Out the numbers 144, 126, 662, 502 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.