Online GCD Calculator is useful to find the GCD of 702, 964, 168, 360 quickly. Get the easiest ways to solve the greatest common divisor of 702, 964, 168, 360 i.e 2 in different methods as follows.
Given Input numbers are 702, 964, 168, 360
In the factoring method, we have to find the divisors of all numbers
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 964 :
The positive integer divisors of 964 that completely divides 964 are.
1, 2, 4, 241, 482, 964
Divisors of 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
GCD of numbers is the greatest common divisor
So, the GCD (702, 964, 168, 360) = 2.
Given numbers are 702, 964, 168, 360
The list of prime factors of all numbers are
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 964 are 2 x 2 x 241
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 702, 964, 168, 360 is 2.
Given numbers are 702, 964, 168, 360
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(702, 964) = 338364
GCD(702, 964) = ( 702 x 964 ) / 338364
= 702 / 964
= 702
Step2:
LCM(2, 168) = 168
GCD(2, 168) = ( 2 x 168 ) / 168
= 2 / 168
= 2
Step3:
LCM(2, 360) = 360
GCD(2, 360) = ( 2 x 360 ) / 360
= 2 / 360
= 2
So, Greatest Common Divisor of 702, 964, 168, 360 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 702, 964, 168, 360
The greatest common divisor of numbers 702, 964, 168, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 964, 168, 360 is 2.
1. What is the GCD of 702, 964, 168, 360?
GCD of given numbers 702, 964, 168, 360 is 2
2. How to calculate the greatest common divisor of 702, 964, 168, 360?
We can find the highest common divisor of 702, 964, 168, 360 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 702, 964, 168, 360 i.e 2.
3. How can I use the GCD of 702, 964, 168, 360Calculator?
Out the numbers 702, 964, 168, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.