Online GCD Calculator is useful to find the GCD of 674, 102, 986, 964 quickly. Get the easiest ways to solve the greatest common divisor of 674, 102, 986, 964 i.e 2 in different methods as follows.
Given Input numbers are 674, 102, 986, 964
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 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 986 :
The positive integer divisors of 986 that completely divides 986 are.
1, 2, 17, 29, 34, 58, 493, 986
Divisors of 964 :
The positive integer divisors of 964 that completely divides 964 are.
1, 2, 4, 241, 482, 964
GCD of numbers is the greatest common divisor
So, the GCD (674, 102, 986, 964) = 2.
Given numbers are 674, 102, 986, 964
The list of prime factors of all numbers are
Prime factors of 674 are 2 x 337
Prime factors of 102 are 2 x 3 x 17
Prime factors of 986 are 2 x 17 x 29
Prime factors of 964 are 2 x 2 x 241
The highest common occurrence is 21
Therefore, GCD of 674, 102, 986, 964 is 2.
Given numbers are 674, 102, 986, 964
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(674, 102) = 34374
GCD(674, 102) = ( 674 x 102 ) / 34374
= 674 / 102
= 674
Step2:
LCM(2, 986) = 986
GCD(2, 986) = ( 2 x 986 ) / 986
= 2 / 986
= 2
Step3:
LCM(2, 964) = 964
GCD(2, 964) = ( 2 x 964 ) / 964
= 2 / 964
= 2
So, Greatest Common Divisor of 674, 102, 986, 964 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 674, 102, 986, 964
The greatest common divisor of numbers 674, 102, 986, 964 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 674, 102, 986, 964 is 2.
1. What is the GCD of 674, 102, 986, 964?
GCD of given numbers 674, 102, 986, 964 is 2
2. How to calculate the greatest common divisor of 674, 102, 986, 964?
We can find the highest common divisor of 674, 102, 986, 964 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, 102, 986, 964 i.e 2.
3. How can I use the GCD of 674, 102, 986, 964Calculator?
Out the numbers 674, 102, 986, 964 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.