Online GCD Calculator is useful to find the GCD of 110, 134, 870, 434 quickly. Get the easiest ways to solve the greatest common divisor of 110, 134, 870, 434 i.e 2 in different methods as follows.
Given Input numbers are 110, 134, 870, 434
In the factoring method, we have to find the divisors of all numbers
Divisors of 110 :
The positive integer divisors of 110 that completely divides 110 are.
1, 2, 5, 10, 11, 22, 55, 110
Divisors of 134 :
The positive integer divisors of 134 that completely divides 134 are.
1, 2, 67, 134
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 434 :
The positive integer divisors of 434 that completely divides 434 are.
1, 2, 7, 14, 31, 62, 217, 434
GCD of numbers is the greatest common divisor
So, the GCD (110, 134, 870, 434) = 2.
Given numbers are 110, 134, 870, 434
The list of prime factors of all numbers are
Prime factors of 110 are 2 x 5 x 11
Prime factors of 134 are 2 x 67
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 434 are 2 x 7 x 31
The highest common occurrence is 21
Therefore, GCD of 110, 134, 870, 434 is 2.
Given numbers are 110, 134, 870, 434
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(110, 134) = 7370
GCD(110, 134) = ( 110 x 134 ) / 7370
= 110 / 134
= 110
Step2:
LCM(2, 870) = 870
GCD(2, 870) = ( 2 x 870 ) / 870
= 2 / 870
= 2
Step3:
LCM(2, 434) = 434
GCD(2, 434) = ( 2 x 434 ) / 434
= 2 / 434
= 2
So, Greatest Common Divisor of 110, 134, 870, 434 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 110, 134, 870, 434
The greatest common divisor of numbers 110, 134, 870, 434 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 110, 134, 870, 434 is 2.
1. What is the GCD of 110, 134, 870, 434?
GCD of given numbers 110, 134, 870, 434 is 2
2. How to calculate the greatest common divisor of 110, 134, 870, 434?
We can find the highest common divisor of 110, 134, 870, 434 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 110, 134, 870, 434 i.e 2.
3. How can I use the GCD of 110, 134, 870, 434Calculator?
Out the numbers 110, 134, 870, 434 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.