Online GCD Calculator is useful to find the GCD of 674, 950, 584, 648 quickly. Get the easiest ways to solve the greatest common divisor of 674, 950, 584, 648 i.e 2 in different methods as follows.
Given Input numbers are 674, 950, 584, 648
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 950 :
The positive integer divisors of 950 that completely divides 950 are.
1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
Divisors of 584 :
The positive integer divisors of 584 that completely divides 584 are.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 648 :
The positive integer divisors of 648 that completely divides 648 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
GCD of numbers is the greatest common divisor
So, the GCD (674, 950, 584, 648) = 2.
Given numbers are 674, 950, 584, 648
The list of prime factors of all numbers are
Prime factors of 674 are 2 x 337
Prime factors of 950 are 2 x 5 x 5 x 19
Prime factors of 584 are 2 x 2 x 2 x 73
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 674, 950, 584, 648 is 2.
Given numbers are 674, 950, 584, 648
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(674, 950) = 320150
GCD(674, 950) = ( 674 x 950 ) / 320150
= 674 / 950
= 674
Step2:
LCM(2, 584) = 584
GCD(2, 584) = ( 2 x 584 ) / 584
= 2 / 584
= 2
Step3:
LCM(2, 648) = 648
GCD(2, 648) = ( 2 x 648 ) / 648
= 2 / 648
= 2
So, Greatest Common Divisor of 674, 950, 584, 648 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 674, 950, 584, 648
The greatest common divisor of numbers 674, 950, 584, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 674, 950, 584, 648 is 2.
1. What is the GCD of 674, 950, 584, 648?
GCD of given numbers 674, 950, 584, 648 is 2
2. How to calculate the greatest common divisor of 674, 950, 584, 648?
We can find the highest common divisor of 674, 950, 584, 648 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, 950, 584, 648 i.e 2.
3. How can I use the GCD of 674, 950, 584, 648Calculator?
Out the numbers 674, 950, 584, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.