Online GCD Calculator is useful to find the GCD of 168, 777, 630, 141 quickly. Get the easiest ways to solve the greatest common divisor of 168, 777, 630, 141 i.e 3 in different methods as follows.
Given Input numbers are 168, 777, 630, 141
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 777 :
The positive integer divisors of 777 that completely divides 777 are.
1, 3, 7, 21, 37, 111, 259, 777
Divisors of 630 :
The positive integer divisors of 630 that completely divides 630 are.
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
Divisors of 141 :
The positive integer divisors of 141 that completely divides 141 are.
1, 3, 47, 141
GCD of numbers is the greatest common divisor
So, the GCD (168, 777, 630, 141) = 3.
Given numbers are 168, 777, 630, 141
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 777 are 3 x 7 x 37
Prime factors of 630 are 2 x 3 x 3 x 5 x 7
Prime factors of 141 are 3 x 47
The highest common occurrence is 31
Therefore, GCD of 168, 777, 630, 141 is 3.
Given numbers are 168, 777, 630, 141
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(168, 777) = 6216
GCD(168, 777) = ( 168 x 777 ) / 6216
= 168 / 777
= 168
Step2:
LCM(21, 630) = 630
GCD(21, 630) = ( 21 x 630 ) / 630
= 21 / 630
= 21
Step3:
LCM(21, 141) = 987
GCD(21, 141) = ( 21 x 141 ) / 987
= 21 / 141
= 21
So, Greatest Common Divisor of 168, 777, 630, 141 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 168, 777, 630, 141
The greatest common divisor of numbers 168, 777, 630, 141 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 777, 630, 141 is 3.
1. What is the GCD of 168, 777, 630, 141?
GCD of given numbers 168, 777, 630, 141 is 3
2. How to calculate the greatest common divisor of 168, 777, 630, 141?
We can find the highest common divisor of 168, 777, 630, 141 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, 777, 630, 141 i.e 3.
3. How can I use the GCD of 168, 777, 630, 141Calculator?
Out the numbers 168, 777, 630, 141 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.