Online GCD Calculator is useful to find the GCD of 734, 850, 824, 424 quickly. Get the easiest ways to solve the greatest common divisor of 734, 850, 824, 424 i.e 2 in different methods as follows.
Given Input numbers are 734, 850, 824, 424
In the factoring method, we have to find the divisors of all numbers
Divisors of 734 :
The positive integer divisors of 734 that completely divides 734 are.
1, 2, 367, 734
Divisors of 850 :
The positive integer divisors of 850 that completely divides 850 are.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 424 :
The positive integer divisors of 424 that completely divides 424 are.
1, 2, 4, 8, 53, 106, 212, 424
GCD of numbers is the greatest common divisor
So, the GCD (734, 850, 824, 424) = 2.
Given numbers are 734, 850, 824, 424
The list of prime factors of all numbers are
Prime factors of 734 are 2 x 367
Prime factors of 850 are 2 x 5 x 5 x 17
Prime factors of 824 are 2 x 2 x 2 x 103
Prime factors of 424 are 2 x 2 x 2 x 53
The highest common occurrence is 21
Therefore, GCD of 734, 850, 824, 424 is 2.
Given numbers are 734, 850, 824, 424
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(734, 850) = 311950
GCD(734, 850) = ( 734 x 850 ) / 311950
= 734 / 850
= 734
Step2:
LCM(2, 824) = 824
GCD(2, 824) = ( 2 x 824 ) / 824
= 2 / 824
= 2
Step3:
LCM(2, 424) = 424
GCD(2, 424) = ( 2 x 424 ) / 424
= 2 / 424
= 2
So, Greatest Common Divisor of 734, 850, 824, 424 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 734, 850, 824, 424
The greatest common divisor of numbers 734, 850, 824, 424 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 734, 850, 824, 424 is 2.
1. What is the GCD of 734, 850, 824, 424?
GCD of given numbers 734, 850, 824, 424 is 2
2. How to calculate the greatest common divisor of 734, 850, 824, 424?
We can find the highest common divisor of 734, 850, 824, 424 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 734, 850, 824, 424 i.e 2.
3. How can I use the GCD of 734, 850, 824, 424Calculator?
Out the numbers 734, 850, 824, 424 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.