Online GCD Calculator is useful to find the GCD of 168, 702, 831, 660 quickly. Get the easiest ways to solve the greatest common divisor of 168, 702, 831, 660 i.e 3 in different methods as follows.
Given Input numbers are 168, 702, 831, 660
In the factoring method, we have to find the divisors of all numbers
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 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 831 :
The positive integer divisors of 831 that completely divides 831 are.
1, 3, 277, 831
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
GCD of numbers is the greatest common divisor
So, the GCD (168, 702, 831, 660) = 3.
Given numbers are 168, 702, 831, 660
The list of prime factors of all numbers are
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 831 are 3 x 277
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
The highest common occurrence is 31
Therefore, GCD of 168, 702, 831, 660 is 3.
Given numbers are 168, 702, 831, 660
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(168, 702) = 19656
GCD(168, 702) = ( 168 x 702 ) / 19656
= 168 / 702
= 168
Step2:
LCM(6, 831) = 1662
GCD(6, 831) = ( 6 x 831 ) / 1662
= 6 / 831
= 6
Step3:
LCM(3, 660) = 660
GCD(3, 660) = ( 3 x 660 ) / 660
= 3 / 660
= 3
So, Greatest Common Divisor of 168, 702, 831, 660 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 168, 702, 831, 660
The greatest common divisor of numbers 168, 702, 831, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 702, 831, 660 is 3.
1. What is the GCD of 168, 702, 831, 660?
GCD of given numbers 168, 702, 831, 660 is 3
2. How to calculate the greatest common divisor of 168, 702, 831, 660?
We can find the highest common divisor of 168, 702, 831, 660 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 168, 702, 831, 660 i.e 3.
3. How can I use the GCD of 168, 702, 831, 660Calculator?
Out the numbers 168, 702, 831, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.