Online GCD Calculator is useful to find the GCD of 274, 392, 810, 472 quickly. Get the easiest ways to solve the greatest common divisor of 274, 392, 810, 472 i.e 2 in different methods as follows.
Given Input numbers are 274, 392, 810, 472
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 392 :
The positive integer divisors of 392 that completely divides 392 are.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Divisors of 810 :
The positive integer divisors of 810 that completely divides 810 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
GCD of numbers is the greatest common divisor
So, the GCD (274, 392, 810, 472) = 2.
Given numbers are 274, 392, 810, 472
The list of prime factors of all numbers are
Prime factors of 274 are 2 x 137
Prime factors of 392 are 2 x 2 x 2 x 7 x 7
Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5
Prime factors of 472 are 2 x 2 x 2 x 59
The highest common occurrence is 21
Therefore, GCD of 274, 392, 810, 472 is 2.
Given numbers are 274, 392, 810, 472
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(274, 392) = 53704
GCD(274, 392) = ( 274 x 392 ) / 53704
= 274 / 392
= 274
Step2:
LCM(2, 810) = 810
GCD(2, 810) = ( 2 x 810 ) / 810
= 2 / 810
= 2
Step3:
LCM(2, 472) = 472
GCD(2, 472) = ( 2 x 472 ) / 472
= 2 / 472
= 2
So, Greatest Common Divisor of 274, 392, 810, 472 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 274, 392, 810, 472
The greatest common divisor of numbers 274, 392, 810, 472 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 392, 810, 472 is 2.
1. What is the GCD of 274, 392, 810, 472?
GCD of given numbers 274, 392, 810, 472 is 2
2. How to calculate the greatest common divisor of 274, 392, 810, 472?
We can find the highest common divisor of 274, 392, 810, 472 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, 392, 810, 472 i.e 2.
3. How can I use the GCD of 274, 392, 810, 472Calculator?
Out the numbers 274, 392, 810, 472 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.