Online GCD Calculator is useful to find the GCD of 134, 744, 350, 690 quickly. Get the easiest ways to solve the greatest common divisor of 134, 744, 350, 690 i.e 2 in different methods as follows.
Given Input numbers are 134, 744, 350, 690
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 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
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 690 :
The positive integer divisors of 690 that completely divides 690 are.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
GCD of numbers is the greatest common divisor
So, the GCD (134, 744, 350, 690) = 2.
Given numbers are 134, 744, 350, 690
The list of prime factors of all numbers are
Prime factors of 134 are 2 x 67
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 350 are 2 x 5 x 5 x 7
Prime factors of 690 are 2 x 3 x 5 x 23
The highest common occurrence is 21
Therefore, GCD of 134, 744, 350, 690 is 2.
Given numbers are 134, 744, 350, 690
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(134, 744) = 49848
GCD(134, 744) = ( 134 x 744 ) / 49848
= 134 / 744
= 134
Step2:
LCM(2, 350) = 350
GCD(2, 350) = ( 2 x 350 ) / 350
= 2 / 350
= 2
Step3:
LCM(2, 690) = 690
GCD(2, 690) = ( 2 x 690 ) / 690
= 2 / 690
= 2
So, Greatest Common Divisor of 134, 744, 350, 690 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 134, 744, 350, 690
The greatest common divisor of numbers 134, 744, 350, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 134, 744, 350, 690 is 2.
1. What is the GCD of 134, 744, 350, 690?
GCD of given numbers 134, 744, 350, 690 is 2
2. How to calculate the greatest common divisor of 134, 744, 350, 690?
We can find the highest common divisor of 134, 744, 350, 690 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, 744, 350, 690 i.e 2.
3. How can I use the GCD of 134, 744, 350, 690Calculator?
Out the numbers 134, 744, 350, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.