Online GCD Calculator is useful to find the GCD of 236, 874, 240, 264 quickly. Get the easiest ways to solve the greatest common divisor of 236, 874, 240, 264 i.e 2 in different methods as follows.
Given Input numbers are 236, 874, 240, 264
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 874 :
The positive integer divisors of 874 that completely divides 874 are.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 264 :
The positive integer divisors of 264 that completely divides 264 are.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
GCD of numbers is the greatest common divisor
So, the GCD (236, 874, 240, 264) = 2.
Given numbers are 236, 874, 240, 264
The list of prime factors of all numbers are
Prime factors of 236 are 2 x 2 x 59
Prime factors of 874 are 2 x 19 x 23
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 264 are 2 x 2 x 2 x 3 x 11
The highest common occurrence is 21
Therefore, GCD of 236, 874, 240, 264 is 2.
Given numbers are 236, 874, 240, 264
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(236, 874) = 103132
GCD(236, 874) = ( 236 x 874 ) / 103132
= 236 / 874
= 236
Step2:
LCM(2, 240) = 240
GCD(2, 240) = ( 2 x 240 ) / 240
= 2 / 240
= 2
Step3:
LCM(2, 264) = 264
GCD(2, 264) = ( 2 x 264 ) / 264
= 2 / 264
= 2
So, Greatest Common Divisor of 236, 874, 240, 264 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 236, 874, 240, 264
The greatest common divisor of numbers 236, 874, 240, 264 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 236, 874, 240, 264 is 2.
1. What is the GCD of 236, 874, 240, 264?
GCD of given numbers 236, 874, 240, 264 is 2
2. How to calculate the greatest common divisor of 236, 874, 240, 264?
We can find the highest common divisor of 236, 874, 240, 264 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, 874, 240, 264 i.e 2.
3. How can I use the GCD of 236, 874, 240, 264Calculator?
Out the numbers 236, 874, 240, 264 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.