Online GCD Calculator is useful to find the GCD of 240, 348, 694, 872 quickly. Get the easiest ways to solve the greatest common divisor of 240, 348, 694, 872 i.e 2 in different methods as follows.
Given Input numbers are 240, 348, 694, 872
In the factoring method, we have to find the divisors of all numbers
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 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 694 :
The positive integer divisors of 694 that completely divides 694 are.
1, 2, 347, 694
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
GCD of numbers is the greatest common divisor
So, the GCD (240, 348, 694, 872) = 2.
Given numbers are 240, 348, 694, 872
The list of prime factors of all numbers are
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 348 are 2 x 2 x 3 x 29
Prime factors of 694 are 2 x 347
Prime factors of 872 are 2 x 2 x 2 x 109
The highest common occurrence is 21
Therefore, GCD of 240, 348, 694, 872 is 2.
Given numbers are 240, 348, 694, 872
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(240, 348) = 6960
GCD(240, 348) = ( 240 x 348 ) / 6960
= 240 / 348
= 240
Step2:
LCM(12, 694) = 4164
GCD(12, 694) = ( 12 x 694 ) / 4164
= 12 / 694
= 12
Step3:
LCM(2, 872) = 872
GCD(2, 872) = ( 2 x 872 ) / 872
= 2 / 872
= 2
So, Greatest Common Divisor of 240, 348, 694, 872 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 240, 348, 694, 872
The greatest common divisor of numbers 240, 348, 694, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 348, 694, 872 is 2.
1. What is the GCD of 240, 348, 694, 872?
GCD of given numbers 240, 348, 694, 872 is 2
2. How to calculate the greatest common divisor of 240, 348, 694, 872?
We can find the highest common divisor of 240, 348, 694, 872 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 240, 348, 694, 872 i.e 2.
3. How can I use the GCD of 240, 348, 694, 872Calculator?
Out the numbers 240, 348, 694, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.