Online GCD Calculator is useful to find the GCD of 814, 918, 870, 354 quickly. Get the easiest ways to solve the greatest common divisor of 814, 918, 870, 354 i.e 2 in different methods as follows.
Given Input numbers are 814, 918, 870, 354
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 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 870 :
The positive integer divisors of 870 that completely divides 870 are.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
GCD of numbers is the greatest common divisor
So, the GCD (814, 918, 870, 354) = 2.
Given numbers are 814, 918, 870, 354
The list of prime factors of all numbers are
Prime factors of 814 are 2 x 11 x 37
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 354 are 2 x 3 x 59
The highest common occurrence is 21
Therefore, GCD of 814, 918, 870, 354 is 2.
Given numbers are 814, 918, 870, 354
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(814, 918) = 373626
GCD(814, 918) = ( 814 x 918 ) / 373626
= 814 / 918
= 814
Step2:
LCM(2, 870) = 870
GCD(2, 870) = ( 2 x 870 ) / 870
= 2 / 870
= 2
Step3:
LCM(2, 354) = 354
GCD(2, 354) = ( 2 x 354 ) / 354
= 2 / 354
= 2
So, Greatest Common Divisor of 814, 918, 870, 354 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 814, 918, 870, 354
The greatest common divisor of numbers 814, 918, 870, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 918, 870, 354 is 2.
1. What is the GCD of 814, 918, 870, 354?
GCD of given numbers 814, 918, 870, 354 is 2
2. How to calculate the greatest common divisor of 814, 918, 870, 354?
We can find the highest common divisor of 814, 918, 870, 354 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, 918, 870, 354 i.e 2.
3. How can I use the GCD of 814, 918, 870, 354Calculator?
Out the numbers 814, 918, 870, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.