Online GCD Calculator is useful to find the GCD of 410, 700, 180, 134 quickly. Get the easiest ways to solve the greatest common divisor of 410, 700, 180, 134 i.e 2 in different methods as follows.
Given Input numbers are 410, 700, 180, 134
In the factoring method, we have to find the divisors of all numbers
Divisors of 410 :
The positive integer divisors of 410 that completely divides 410 are.
1, 2, 5, 10, 41, 82, 205, 410
Divisors of 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 134 :
The positive integer divisors of 134 that completely divides 134 are.
1, 2, 67, 134
GCD of numbers is the greatest common divisor
So, the GCD (410, 700, 180, 134) = 2.
Given numbers are 410, 700, 180, 134
The list of prime factors of all numbers are
Prime factors of 410 are 2 x 5 x 41
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 134 are 2 x 67
The highest common occurrence is 21
Therefore, GCD of 410, 700, 180, 134 is 2.
Given numbers are 410, 700, 180, 134
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(410, 700) = 28700
GCD(410, 700) = ( 410 x 700 ) / 28700
= 410 / 700
= 410
Step2:
LCM(10, 180) = 180
GCD(10, 180) = ( 10 x 180 ) / 180
= 10 / 180
= 10
Step3:
LCM(10, 134) = 670
GCD(10, 134) = ( 10 x 134 ) / 670
= 10 / 134
= 10
So, Greatest Common Divisor of 410, 700, 180, 134 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 410, 700, 180, 134
The greatest common divisor of numbers 410, 700, 180, 134 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 410, 700, 180, 134 is 2.
1. What is the GCD of 410, 700, 180, 134?
GCD of given numbers 410, 700, 180, 134 is 2
2. How to calculate the greatest common divisor of 410, 700, 180, 134?
We can find the highest common divisor of 410, 700, 180, 134 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 410, 700, 180, 134 i.e 2.
3. How can I use the GCD of 410, 700, 180, 134Calculator?
Out the numbers 410, 700, 180, 134 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.