Online GCD Calculator is useful to find the GCD of 402, 174, 984, 760 quickly. Get the easiest ways to solve the greatest common divisor of 402, 174, 984, 760 i.e 2 in different methods as follows.
Given Input numbers are 402, 174, 984, 760
In the factoring method, we have to find the divisors of all numbers
Divisors of 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 174 :
The positive integer divisors of 174 that completely divides 174 are.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 984 :
The positive integer divisors of 984 that completely divides 984 are.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Divisors of 760 :
The positive integer divisors of 760 that completely divides 760 are.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
GCD of numbers is the greatest common divisor
So, the GCD (402, 174, 984, 760) = 2.
Given numbers are 402, 174, 984, 760
The list of prime factors of all numbers are
Prime factors of 402 are 2 x 3 x 67
Prime factors of 174 are 2 x 3 x 29
Prime factors of 984 are 2 x 2 x 2 x 3 x 41
Prime factors of 760 are 2 x 2 x 2 x 5 x 19
The highest common occurrence is 21
Therefore, GCD of 402, 174, 984, 760 is 2.
Given numbers are 402, 174, 984, 760
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(402, 174) = 11658
GCD(402, 174) = ( 402 x 174 ) / 11658
= 402 / 174
= 402
Step2:
LCM(6, 984) = 984
GCD(6, 984) = ( 6 x 984 ) / 984
= 6 / 984
= 6
Step3:
LCM(6, 760) = 2280
GCD(6, 760) = ( 6 x 760 ) / 2280
= 6 / 760
= 6
So, Greatest Common Divisor of 402, 174, 984, 760 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 402, 174, 984, 760
The greatest common divisor of numbers 402, 174, 984, 760 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 174, 984, 760 is 2.
1. What is the GCD of 402, 174, 984, 760?
GCD of given numbers 402, 174, 984, 760 is 2
2. How to calculate the greatest common divisor of 402, 174, 984, 760?
We can find the highest common divisor of 402, 174, 984, 760 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 402, 174, 984, 760 i.e 2.
3. How can I use the GCD of 402, 174, 984, 760Calculator?
Out the numbers 402, 174, 984, 760 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.