Online GCD Calculator is useful to find the GCD of 354, 784, 872, 848 quickly. Get the easiest ways to solve the greatest common divisor of 354, 784, 872, 848 i.e 2 in different methods as follows.
Given Input numbers are 354, 784, 872, 848
In the factoring method, we have to find the divisors of all numbers
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 848 :
The positive integer divisors of 848 that completely divides 848 are.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
GCD of numbers is the greatest common divisor
So, the GCD (354, 784, 872, 848) = 2.
Given numbers are 354, 784, 872, 848
The list of prime factors of all numbers are
Prime factors of 354 are 2 x 3 x 59
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 872 are 2 x 2 x 2 x 109
Prime factors of 848 are 2 x 2 x 2 x 2 x 53
The highest common occurrence is 21
Therefore, GCD of 354, 784, 872, 848 is 2.
Given numbers are 354, 784, 872, 848
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(354, 784) = 138768
GCD(354, 784) = ( 354 x 784 ) / 138768
= 354 / 784
= 354
Step2:
LCM(2, 872) = 872
GCD(2, 872) = ( 2 x 872 ) / 872
= 2 / 872
= 2
Step3:
LCM(2, 848) = 848
GCD(2, 848) = ( 2 x 848 ) / 848
= 2 / 848
= 2
So, Greatest Common Divisor of 354, 784, 872, 848 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 354, 784, 872, 848
The greatest common divisor of numbers 354, 784, 872, 848 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 784, 872, 848 is 2.
1. What is the GCD of 354, 784, 872, 848?
GCD of given numbers 354, 784, 872, 848 is 2
2. How to calculate the greatest common divisor of 354, 784, 872, 848?
We can find the highest common divisor of 354, 784, 872, 848 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 354, 784, 872, 848 i.e 2.
3. How can I use the GCD of 354, 784, 872, 848Calculator?
Out the numbers 354, 784, 872, 848 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.