Online GCD Calculator is useful to find the GCD of 274, 696, 164, 334 quickly. Get the easiest ways to solve the greatest common divisor of 274, 696, 164, 334 i.e 2 in different methods as follows.
Given Input numbers are 274, 696, 164, 334
In the factoring method, we have to find the divisors of all numbers
Divisors of 274 :
The positive integer divisors of 274 that completely divides 274 are.
1, 2, 137, 274
Divisors of 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
Divisors of 334 :
The positive integer divisors of 334 that completely divides 334 are.
1, 2, 167, 334
GCD of numbers is the greatest common divisor
So, the GCD (274, 696, 164, 334) = 2.
Given numbers are 274, 696, 164, 334
The list of prime factors of all numbers are
Prime factors of 274 are 2 x 137
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 164 are 2 x 2 x 41
Prime factors of 334 are 2 x 167
The highest common occurrence is 21
Therefore, GCD of 274, 696, 164, 334 is 2.
Given numbers are 274, 696, 164, 334
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(274, 696) = 95352
GCD(274, 696) = ( 274 x 696 ) / 95352
= 274 / 696
= 274
Step2:
LCM(2, 164) = 164
GCD(2, 164) = ( 2 x 164 ) / 164
= 2 / 164
= 2
Step3:
LCM(2, 334) = 334
GCD(2, 334) = ( 2 x 334 ) / 334
= 2 / 334
= 2
So, Greatest Common Divisor of 274, 696, 164, 334 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 274, 696, 164, 334
The greatest common divisor of numbers 274, 696, 164, 334 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 696, 164, 334 is 2.
1. What is the GCD of 274, 696, 164, 334?
GCD of given numbers 274, 696, 164, 334 is 2
2. How to calculate the greatest common divisor of 274, 696, 164, 334?
We can find the highest common divisor of 274, 696, 164, 334 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 274, 696, 164, 334 i.e 2.
3. How can I use the GCD of 274, 696, 164, 334Calculator?
Out the numbers 274, 696, 164, 334 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.