Online GCD Calculator is useful to find the GCD of 174, 350, 476, 706 quickly. Get the easiest ways to solve the greatest common divisor of 174, 350, 476, 706 i.e 2 in different methods as follows.
Given Input numbers are 174, 350, 476, 706
In the factoring method, we have to find the divisors of all numbers
Divisors of 174 :
The positive integer divisors of 174 that completely divides 174 are.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 350 :
The positive integer divisors of 350 that completely divides 350 are.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 476 :
The positive integer divisors of 476 that completely divides 476 are.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Divisors of 706 :
The positive integer divisors of 706 that completely divides 706 are.
1, 2, 353, 706
GCD of numbers is the greatest common divisor
So, the GCD (174, 350, 476, 706) = 2.
Given numbers are 174, 350, 476, 706
The list of prime factors of all numbers are
Prime factors of 174 are 2 x 3 x 29
Prime factors of 350 are 2 x 5 x 5 x 7
Prime factors of 476 are 2 x 2 x 7 x 17
Prime factors of 706 are 2 x 353
The highest common occurrence is 21
Therefore, GCD of 174, 350, 476, 706 is 2.
Given numbers are 174, 350, 476, 706
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(174, 350) = 30450
GCD(174, 350) = ( 174 x 350 ) / 30450
= 174 / 350
= 174
Step2:
LCM(2, 476) = 476
GCD(2, 476) = ( 2 x 476 ) / 476
= 2 / 476
= 2
Step3:
LCM(2, 706) = 706
GCD(2, 706) = ( 2 x 706 ) / 706
= 2 / 706
= 2
So, Greatest Common Divisor of 174, 350, 476, 706 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 174, 350, 476, 706
The greatest common divisor of numbers 174, 350, 476, 706 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 174, 350, 476, 706 is 2.
1. What is the GCD of 174, 350, 476, 706?
GCD of given numbers 174, 350, 476, 706 is 2
2. How to calculate the greatest common divisor of 174, 350, 476, 706?
We can find the highest common divisor of 174, 350, 476, 706 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 174, 350, 476, 706 i.e 2.
3. How can I use the GCD of 174, 350, 476, 706Calculator?
Out the numbers 174, 350, 476, 706 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.