Online GCD Calculator is useful to find the GCD of 874, 738, 456 quickly. Get the easiest ways to solve the greatest common divisor of 874, 738, 456 i.e 2 in different methods as follows.
Given Input numbers are 874, 738, 456
In the factoring method, we have to find the divisors of all numbers
Divisors of 874 :
The positive integer divisors of 874 that completely divides 874 are.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
GCD of numbers is the greatest common divisor
So, the GCD (874, 738, 456) = 2.
Given numbers are 874, 738, 456
The list of prime factors of all numbers are
Prime factors of 874 are 2 x 19 x 23
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
The highest common occurrence is 21
Therefore, GCD of 874, 738, 456 is 2.
Given numbers are 874, 738, 456
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(874, 738) = 322506
GCD(874, 738) = ( 874 x 738 ) / 322506
= 874 / 738
= 874
Step2:
LCM(2, 456) = 456
GCD(2, 456) = ( 2 x 456 ) / 456
= 2 / 456
= 2
So, Greatest Common Divisor of 874, 738, 456 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 874, 738, 456
The greatest common divisor of numbers 874, 738, 456 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 874, 738, 456 is 2.
1. What is the GCD of 874, 738, 456?
GCD of given numbers 874, 738, 456 is 2
2. How to calculate the greatest common divisor of 874, 738, 456?
We can find the highest common divisor of 874, 738, 456 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 874, 738, 456 i.e 2.
3. How can I use the GCD of 874, 738, 456Calculator?
Out the numbers 874, 738, 456 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.