Online GCD Calculator is useful to find the GCD of 878, 816, 742 quickly. Get the easiest ways to solve the greatest common divisor of 878, 816, 742 i.e 2 in different methods as follows.
Given Input numbers are 878, 816, 742
In the factoring method, we have to find the divisors of all numbers
Divisors of 878 :
The positive integer divisors of 878 that completely divides 878 are.
1, 2, 439, 878
Divisors of 816 :
The positive integer divisors of 816 that completely divides 816 are.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
GCD of numbers is the greatest common divisor
So, the GCD (878, 816, 742) = 2.
Given numbers are 878, 816, 742
The list of prime factors of all numbers are
Prime factors of 878 are 2 x 439
Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17
Prime factors of 742 are 2 x 7 x 53
The highest common occurrence is 21
Therefore, GCD of 878, 816, 742 is 2.
Given numbers are 878, 816, 742
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(878, 816) = 358224
GCD(878, 816) = ( 878 x 816 ) / 358224
= 878 / 816
= 878
Step2:
LCM(2, 742) = 742
GCD(2, 742) = ( 2 x 742 ) / 742
= 2 / 742
= 2
So, Greatest Common Divisor of 878, 816, 742 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 878, 816, 742
The greatest common divisor of numbers 878, 816, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 878, 816, 742 is 2.
1. What is the GCD of 878, 816, 742?
GCD of given numbers 878, 816, 742 is 2
2. How to calculate the greatest common divisor of 878, 816, 742?
We can find the highest common divisor of 878, 816, 742 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 878, 816, 742 i.e 2.
3. How can I use the GCD of 878, 816, 742Calculator?
Out the numbers 878, 816, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.