Online GCD Calculator is useful to find the GCD of 814, 496, 166, 742 quickly. Get the easiest ways to solve the greatest common divisor of 814, 496, 166, 742 i.e 2 in different methods as follows.
Given Input numbers are 814, 496, 166, 742
In the factoring method, we have to find the divisors of all numbers
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 496 :
The positive integer divisors of 496 that completely divides 496 are.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 166 :
The positive integer divisors of 166 that completely divides 166 are.
1, 2, 83, 166
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 (814, 496, 166, 742) = 2.
Given numbers are 814, 496, 166, 742
The list of prime factors of all numbers are
Prime factors of 814 are 2 x 11 x 37
Prime factors of 496 are 2 x 2 x 2 x 2 x 31
Prime factors of 166 are 2 x 83
Prime factors of 742 are 2 x 7 x 53
The highest common occurrence is 21
Therefore, GCD of 814, 496, 166, 742 is 2.
Given numbers are 814, 496, 166, 742
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(814, 496) = 201872
GCD(814, 496) = ( 814 x 496 ) / 201872
= 814 / 496
= 814
Step2:
LCM(2, 166) = 166
GCD(2, 166) = ( 2 x 166 ) / 166
= 2 / 166
= 2
Step3:
LCM(2, 742) = 742
GCD(2, 742) = ( 2 x 742 ) / 742
= 2 / 742
= 2
So, Greatest Common Divisor of 814, 496, 166, 742 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 814, 496, 166, 742
The greatest common divisor of numbers 814, 496, 166, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 496, 166, 742 is 2.
1. What is the GCD of 814, 496, 166, 742?
GCD of given numbers 814, 496, 166, 742 is 2
2. How to calculate the greatest common divisor of 814, 496, 166, 742?
We can find the highest common divisor of 814, 496, 166, 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 814, 496, 166, 742 i.e 2.
3. How can I use the GCD of 814, 496, 166, 742Calculator?
Out the numbers 814, 496, 166, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.