Online GCD Calculator is useful to find the GCD of 674, 384, 500, 978 quickly. Get the easiest ways to solve the greatest common divisor of 674, 384, 500, 978 i.e 2 in different methods as follows.
Given Input numbers are 674, 384, 500, 978
In the factoring method, we have to find the divisors of all numbers
Divisors of 674 :
The positive integer divisors of 674 that completely divides 674 are.
1, 2, 337, 674
Divisors of 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 978 :
The positive integer divisors of 978 that completely divides 978 are.
1, 2, 3, 6, 163, 326, 489, 978
GCD of numbers is the greatest common divisor
So, the GCD (674, 384, 500, 978) = 2.
Given numbers are 674, 384, 500, 978
The list of prime factors of all numbers are
Prime factors of 674 are 2 x 337
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 978 are 2 x 3 x 163
The highest common occurrence is 21
Therefore, GCD of 674, 384, 500, 978 is 2.
Given numbers are 674, 384, 500, 978
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(674, 384) = 129408
GCD(674, 384) = ( 674 x 384 ) / 129408
= 674 / 384
= 674
Step2:
LCM(2, 500) = 500
GCD(2, 500) = ( 2 x 500 ) / 500
= 2 / 500
= 2
Step3:
LCM(2, 978) = 978
GCD(2, 978) = ( 2 x 978 ) / 978
= 2 / 978
= 2
So, Greatest Common Divisor of 674, 384, 500, 978 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 674, 384, 500, 978
The greatest common divisor of numbers 674, 384, 500, 978 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 674, 384, 500, 978 is 2.
1. What is the GCD of 674, 384, 500, 978?
GCD of given numbers 674, 384, 500, 978 is 2
2. How to calculate the greatest common divisor of 674, 384, 500, 978?
We can find the highest common divisor of 674, 384, 500, 978 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 674, 384, 500, 978 i.e 2.
3. How can I use the GCD of 674, 384, 500, 978Calculator?
Out the numbers 674, 384, 500, 978 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.