Online GCD Calculator is useful to find the GCD of 236, 442, 154, 660 quickly. Get the easiest ways to solve the greatest common divisor of 236, 442, 154, 660 i.e 2 in different methods as follows.
Given Input numbers are 236, 442, 154, 660
In the factoring method, we have to find the divisors of all numbers
Divisors of 236 :
The positive integer divisors of 236 that completely divides 236 are.
1, 2, 4, 59, 118, 236
Divisors of 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 154 :
The positive integer divisors of 154 that completely divides 154 are.
1, 2, 7, 11, 14, 22, 77, 154
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
GCD of numbers is the greatest common divisor
So, the GCD (236, 442, 154, 660) = 2.
Given numbers are 236, 442, 154, 660
The list of prime factors of all numbers are
Prime factors of 236 are 2 x 2 x 59
Prime factors of 442 are 2 x 13 x 17
Prime factors of 154 are 2 x 7 x 11
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
The highest common occurrence is 21
Therefore, GCD of 236, 442, 154, 660 is 2.
Given numbers are 236, 442, 154, 660
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(236, 442) = 52156
GCD(236, 442) = ( 236 x 442 ) / 52156
= 236 / 442
= 236
Step2:
LCM(2, 154) = 154
GCD(2, 154) = ( 2 x 154 ) / 154
= 2 / 154
= 2
Step3:
LCM(2, 660) = 660
GCD(2, 660) = ( 2 x 660 ) / 660
= 2 / 660
= 2
So, Greatest Common Divisor of 236, 442, 154, 660 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 236, 442, 154, 660
The greatest common divisor of numbers 236, 442, 154, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 236, 442, 154, 660 is 2.
1. What is the GCD of 236, 442, 154, 660?
GCD of given numbers 236, 442, 154, 660 is 2
2. How to calculate the greatest common divisor of 236, 442, 154, 660?
We can find the highest common divisor of 236, 442, 154, 660 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 236, 442, 154, 660 i.e 2.
3. How can I use the GCD of 236, 442, 154, 660Calculator?
Out the numbers 236, 442, 154, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.