Online GCD Calculator is useful to find the GCD of 134, 670, 474, 550 quickly. Get the easiest ways to solve the greatest common divisor of 134, 670, 474, 550 i.e 2 in different methods as follows.
Given Input numbers are 134, 670, 474, 550
In the factoring method, we have to find the divisors of all numbers
Divisors of 134 :
The positive integer divisors of 134 that completely divides 134 are.
1, 2, 67, 134
Divisors of 670 :
The positive integer divisors of 670 that completely divides 670 are.
1, 2, 5, 10, 67, 134, 335, 670
Divisors of 474 :
The positive integer divisors of 474 that completely divides 474 are.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 550 :
The positive integer divisors of 550 that completely divides 550 are.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
GCD of numbers is the greatest common divisor
So, the GCD (134, 670, 474, 550) = 2.
Given numbers are 134, 670, 474, 550
The list of prime factors of all numbers are
Prime factors of 134 are 2 x 67
Prime factors of 670 are 2 x 5 x 67
Prime factors of 474 are 2 x 3 x 79
Prime factors of 550 are 2 x 5 x 5 x 11
The highest common occurrence is 21
Therefore, GCD of 134, 670, 474, 550 is 2.
Given numbers are 134, 670, 474, 550
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(134, 670) = 670
GCD(134, 670) = ( 134 x 670 ) / 670
= 134 / 670
= 134
Step2:
LCM(134, 474) = 31758
GCD(134, 474) = ( 134 x 474 ) / 31758
= 134 / 474
= 134
Step3:
LCM(2, 550) = 550
GCD(2, 550) = ( 2 x 550 ) / 550
= 2 / 550
= 2
So, Greatest Common Divisor of 134, 670, 474, 550 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 134, 670, 474, 550
The greatest common divisor of numbers 134, 670, 474, 550 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 134, 670, 474, 550 is 2.
1. What is the GCD of 134, 670, 474, 550?
GCD of given numbers 134, 670, 474, 550 is 2
2. How to calculate the greatest common divisor of 134, 670, 474, 550?
We can find the highest common divisor of 134, 670, 474, 550 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 134, 670, 474, 550 i.e 2.
3. How can I use the GCD of 134, 670, 474, 550Calculator?
Out the numbers 134, 670, 474, 550 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.