Online GCD Calculator is useful to find the GCD of 144, 462, 294, 262 quickly. Get the easiest ways to solve the greatest common divisor of 144, 462, 294, 262 i.e 2 in different methods as follows.
Given Input numbers are 144, 462, 294, 262
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 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 294 :
The positive integer divisors of 294 that completely divides 294 are.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Divisors of 262 :
The positive integer divisors of 262 that completely divides 262 are.
1, 2, 131, 262
GCD of numbers is the greatest common divisor
So, the GCD (144, 462, 294, 262) = 2.
Given numbers are 144, 462, 294, 262
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 462 are 2 x 3 x 7 x 11
Prime factors of 294 are 2 x 3 x 7 x 7
Prime factors of 262 are 2 x 131
The highest common occurrence is 21
Therefore, GCD of 144, 462, 294, 262 is 2.
Given numbers are 144, 462, 294, 262
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(144, 462) = 11088
GCD(144, 462) = ( 144 x 462 ) / 11088
= 144 / 462
= 144
Step2:
LCM(6, 294) = 294
GCD(6, 294) = ( 6 x 294 ) / 294
= 6 / 294
= 6
Step3:
LCM(6, 262) = 786
GCD(6, 262) = ( 6 x 262 ) / 786
= 6 / 262
= 6
So, Greatest Common Divisor of 144, 462, 294, 262 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 144, 462, 294, 262
The greatest common divisor of numbers 144, 462, 294, 262 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 462, 294, 262 is 2.
1. What is the GCD of 144, 462, 294, 262?
GCD of given numbers 144, 462, 294, 262 is 2
2. How to calculate the greatest common divisor of 144, 462, 294, 262?
We can find the highest common divisor of 144, 462, 294, 262 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, 462, 294, 262 i.e 2.
3. How can I use the GCD of 144, 462, 294, 262Calculator?
Out the numbers 144, 462, 294, 262 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.