Online GCD Calculator is useful to find the GCD of 312, 990, 534, 140 quickly. Get the easiest ways to solve the greatest common divisor of 312, 990, 534, 140 i.e 2 in different methods as follows.
Given Input numbers are 312, 990, 534, 140
In the factoring method, we have to find the divisors of all numbers
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 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 534 :
The positive integer divisors of 534 that completely divides 534 are.
1, 2, 3, 6, 89, 178, 267, 534
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
GCD of numbers is the greatest common divisor
So, the GCD (312, 990, 534, 140) = 2.
Given numbers are 312, 990, 534, 140
The list of prime factors of all numbers are
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 534 are 2 x 3 x 89
Prime factors of 140 are 2 x 2 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 312, 990, 534, 140 is 2.
Given numbers are 312, 990, 534, 140
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(312, 990) = 51480
GCD(312, 990) = ( 312 x 990 ) / 51480
= 312 / 990
= 312
Step2:
LCM(6, 534) = 534
GCD(6, 534) = ( 6 x 534 ) / 534
= 6 / 534
= 6
Step3:
LCM(6, 140) = 420
GCD(6, 140) = ( 6 x 140 ) / 420
= 6 / 140
= 6
So, Greatest Common Divisor of 312, 990, 534, 140 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 312, 990, 534, 140
The greatest common divisor of numbers 312, 990, 534, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 990, 534, 140 is 2.
1. What is the GCD of 312, 990, 534, 140?
GCD of given numbers 312, 990, 534, 140 is 2
2. How to calculate the greatest common divisor of 312, 990, 534, 140?
We can find the highest common divisor of 312, 990, 534, 140 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 312, 990, 534, 140 i.e 2.
3. How can I use the GCD of 312, 990, 534, 140Calculator?
Out the numbers 312, 990, 534, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.