Online GCD Calculator is useful to find the GCD of 134, 950, 414, 680 quickly. Get the easiest ways to solve the greatest common divisor of 134, 950, 414, 680 i.e 2 in different methods as follows.
Given Input numbers are 134, 950, 414, 680
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 950 :
The positive integer divisors of 950 that completely divides 950 are.
1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
Divisors of 414 :
The positive integer divisors of 414 that completely divides 414 are.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
GCD of numbers is the greatest common divisor
So, the GCD (134, 950, 414, 680) = 2.
Given numbers are 134, 950, 414, 680
The list of prime factors of all numbers are
Prime factors of 134 are 2 x 67
Prime factors of 950 are 2 x 5 x 5 x 19
Prime factors of 414 are 2 x 3 x 3 x 23
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
The highest common occurrence is 21
Therefore, GCD of 134, 950, 414, 680 is 2.
Given numbers are 134, 950, 414, 680
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(134, 950) = 63650
GCD(134, 950) = ( 134 x 950 ) / 63650
= 134 / 950
= 134
Step2:
LCM(2, 414) = 414
GCD(2, 414) = ( 2 x 414 ) / 414
= 2 / 414
= 2
Step3:
LCM(2, 680) = 680
GCD(2, 680) = ( 2 x 680 ) / 680
= 2 / 680
= 2
So, Greatest Common Divisor of 134, 950, 414, 680 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 134, 950, 414, 680
The greatest common divisor of numbers 134, 950, 414, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 134, 950, 414, 680 is 2.
1. What is the GCD of 134, 950, 414, 680?
GCD of given numbers 134, 950, 414, 680 is 2
2. How to calculate the greatest common divisor of 134, 950, 414, 680?
We can find the highest common divisor of 134, 950, 414, 680 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, 950, 414, 680 i.e 2.
3. How can I use the GCD of 134, 950, 414, 680Calculator?
Out the numbers 134, 950, 414, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.