Online GCD Calculator is useful to find the GCD of 350, 742, 342, 766 quickly. Get the easiest ways to solve the greatest common divisor of 350, 742, 342, 766 i.e 2 in different methods as follows.
Given Input numbers are 350, 742, 342, 766
In the factoring method, we have to find the divisors of all numbers
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 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 766 :
The positive integer divisors of 766 that completely divides 766 are.
1, 2, 383, 766
GCD of numbers is the greatest common divisor
So, the GCD (350, 742, 342, 766) = 2.
Given numbers are 350, 742, 342, 766
The list of prime factors of all numbers are
Prime factors of 350 are 2 x 5 x 5 x 7
Prime factors of 742 are 2 x 7 x 53
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 766 are 2 x 383
The highest common occurrence is 21
Therefore, GCD of 350, 742, 342, 766 is 2.
Given numbers are 350, 742, 342, 766
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(350, 742) = 18550
GCD(350, 742) = ( 350 x 742 ) / 18550
= 350 / 742
= 350
Step2:
LCM(14, 342) = 2394
GCD(14, 342) = ( 14 x 342 ) / 2394
= 14 / 342
= 14
Step3:
LCM(2, 766) = 766
GCD(2, 766) = ( 2 x 766 ) / 766
= 2 / 766
= 2
So, Greatest Common Divisor of 350, 742, 342, 766 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 350, 742, 342, 766
The greatest common divisor of numbers 350, 742, 342, 766 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 350, 742, 342, 766 is 2.
1. What is the GCD of 350, 742, 342, 766?
GCD of given numbers 350, 742, 342, 766 is 2
2. How to calculate the greatest common divisor of 350, 742, 342, 766?
We can find the highest common divisor of 350, 742, 342, 766 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 350, 742, 342, 766 i.e 2.
3. How can I use the GCD of 350, 742, 342, 766Calculator?
Out the numbers 350, 742, 342, 766 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.