Online GCD Calculator is useful to find the GCD of 142, 318, 312, 764 quickly. Get the easiest ways to solve the greatest common divisor of 142, 318, 312, 764 i.e 2 in different methods as follows.
Given Input numbers are 142, 318, 312, 764
In the factoring method, we have to find the divisors of all numbers
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 764 :
The positive integer divisors of 764 that completely divides 764 are.
1, 2, 4, 191, 382, 764
GCD of numbers is the greatest common divisor
So, the GCD (142, 318, 312, 764) = 2.
Given numbers are 142, 318, 312, 764
The list of prime factors of all numbers are
Prime factors of 142 are 2 x 71
Prime factors of 318 are 2 x 3 x 53
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 764 are 2 x 2 x 191
The highest common occurrence is 21
Therefore, GCD of 142, 318, 312, 764 is 2.
Given numbers are 142, 318, 312, 764
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(142, 318) = 22578
GCD(142, 318) = ( 142 x 318 ) / 22578
= 142 / 318
= 142
Step2:
LCM(2, 312) = 312
GCD(2, 312) = ( 2 x 312 ) / 312
= 2 / 312
= 2
Step3:
LCM(2, 764) = 764
GCD(2, 764) = ( 2 x 764 ) / 764
= 2 / 764
= 2
So, Greatest Common Divisor of 142, 318, 312, 764 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 142, 318, 312, 764
The greatest common divisor of numbers 142, 318, 312, 764 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 142, 318, 312, 764 is 2.
1. What is the GCD of 142, 318, 312, 764?
GCD of given numbers 142, 318, 312, 764 is 2
2. How to calculate the greatest common divisor of 142, 318, 312, 764?
We can find the highest common divisor of 142, 318, 312, 764 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 142, 318, 312, 764 i.e 2.
3. How can I use the GCD of 142, 318, 312, 764Calculator?
Out the numbers 142, 318, 312, 764 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.