Online GCD Calculator is useful to find the GCD of 708, 834, 872, 274 quickly. Get the easiest ways to solve the greatest common divisor of 708, 834, 872, 274 i.e 2 in different methods as follows.
Given Input numbers are 708, 834, 872, 274
In the factoring method, we have to find the divisors of all numbers
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 834 :
The positive integer divisors of 834 that completely divides 834 are.
1, 2, 3, 6, 139, 278, 417, 834
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 274 :
The positive integer divisors of 274 that completely divides 274 are.
1, 2, 137, 274
GCD of numbers is the greatest common divisor
So, the GCD (708, 834, 872, 274) = 2.
Given numbers are 708, 834, 872, 274
The list of prime factors of all numbers are
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 834 are 2 x 3 x 139
Prime factors of 872 are 2 x 2 x 2 x 109
Prime factors of 274 are 2 x 137
The highest common occurrence is 21
Therefore, GCD of 708, 834, 872, 274 is 2.
Given numbers are 708, 834, 872, 274
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(708, 834) = 98412
GCD(708, 834) = ( 708 x 834 ) / 98412
= 708 / 834
= 708
Step2:
LCM(6, 872) = 2616
GCD(6, 872) = ( 6 x 872 ) / 2616
= 6 / 872
= 6
Step3:
LCM(2, 274) = 274
GCD(2, 274) = ( 2 x 274 ) / 274
= 2 / 274
= 2
So, Greatest Common Divisor of 708, 834, 872, 274 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 708, 834, 872, 274
The greatest common divisor of numbers 708, 834, 872, 274 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 834, 872, 274 is 2.
1. What is the GCD of 708, 834, 872, 274?
GCD of given numbers 708, 834, 872, 274 is 2
2. How to calculate the greatest common divisor of 708, 834, 872, 274?
We can find the highest common divisor of 708, 834, 872, 274 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 708, 834, 872, 274 i.e 2.
3. How can I use the GCD of 708, 834, 872, 274Calculator?
Out the numbers 708, 834, 872, 274 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.