Online GCD Calculator is useful to find the GCD of 814, 674, 692, 874 quickly. Get the easiest ways to solve the greatest common divisor of 814, 674, 692, 874 i.e 2 in different methods as follows.
Given Input numbers are 814, 674, 692, 874
In the factoring method, we have to find the divisors of all numbers
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 674 :
The positive integer divisors of 674 that completely divides 674 are.
1, 2, 337, 674
Divisors of 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
Divisors of 874 :
The positive integer divisors of 874 that completely divides 874 are.
1, 2, 19, 23, 38, 46, 437, 874
GCD of numbers is the greatest common divisor
So, the GCD (814, 674, 692, 874) = 2.
Given numbers are 814, 674, 692, 874
The list of prime factors of all numbers are
Prime factors of 814 are 2 x 11 x 37
Prime factors of 674 are 2 x 337
Prime factors of 692 are 2 x 2 x 173
Prime factors of 874 are 2 x 19 x 23
The highest common occurrence is 21
Therefore, GCD of 814, 674, 692, 874 is 2.
Given numbers are 814, 674, 692, 874
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(814, 674) = 274318
GCD(814, 674) = ( 814 x 674 ) / 274318
= 814 / 674
= 814
Step2:
LCM(2, 692) = 692
GCD(2, 692) = ( 2 x 692 ) / 692
= 2 / 692
= 2
Step3:
LCM(2, 874) = 874
GCD(2, 874) = ( 2 x 874 ) / 874
= 2 / 874
= 2
So, Greatest Common Divisor of 814, 674, 692, 874 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 814, 674, 692, 874
The greatest common divisor of numbers 814, 674, 692, 874 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 674, 692, 874 is 2.
1. What is the GCD of 814, 674, 692, 874?
GCD of given numbers 814, 674, 692, 874 is 2
2. How to calculate the greatest common divisor of 814, 674, 692, 874?
We can find the highest common divisor of 814, 674, 692, 874 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 814, 674, 692, 874 i.e 2.
3. How can I use the GCD of 814, 674, 692, 874Calculator?
Out the numbers 814, 674, 692, 874 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.