Online GCD Calculator is useful to find the GCD of 168, 712, 740, 284 quickly. Get the easiest ways to solve the greatest common divisor of 168, 712, 740, 284 i.e 4 in different methods as follows.
Given Input numbers are 168, 712, 740, 284
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 712 :
The positive integer divisors of 712 that completely divides 712 are.
1, 2, 4, 8, 89, 178, 356, 712
Divisors of 740 :
The positive integer divisors of 740 that completely divides 740 are.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Divisors of 284 :
The positive integer divisors of 284 that completely divides 284 are.
1, 2, 4, 71, 142, 284
GCD of numbers is the greatest common divisor
So, the GCD (168, 712, 740, 284) = 4.
Given numbers are 168, 712, 740, 284
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 712 are 2 x 2 x 2 x 89
Prime factors of 740 are 2 x 2 x 5 x 37
Prime factors of 284 are 2 x 2 x 71
The highest common occurrence is 22
Therefore, GCD of 168, 712, 740, 284 is 4.
Given numbers are 168, 712, 740, 284
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(168, 712) = 14952
GCD(168, 712) = ( 168 x 712 ) / 14952
= 168 / 712
= 168
Step2:
LCM(8, 740) = 1480
GCD(8, 740) = ( 8 x 740 ) / 1480
= 8 / 740
= 8
Step3:
LCM(4, 284) = 284
GCD(4, 284) = ( 4 x 284 ) / 284
= 4 / 284
= 4
So, Greatest Common Divisor of 168, 712, 740, 284 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 168, 712, 740, 284
The greatest common divisor of numbers 168, 712, 740, 284 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 712, 740, 284 is 4.
1. What is the GCD of 168, 712, 740, 284?
GCD of given numbers 168, 712, 740, 284 is 4
2. How to calculate the greatest common divisor of 168, 712, 740, 284?
We can find the highest common divisor of 168, 712, 740, 284 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, 712, 740, 284 i.e 4.
3. How can I use the GCD of 168, 712, 740, 284Calculator?
Out the numbers 168, 712, 740, 284 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.