Online GCD Calculator is useful to find the GCD of 147, 834, 513, 996 quickly. Get the easiest ways to solve the greatest common divisor of 147, 834, 513, 996 i.e 3 in different methods as follows.
Given Input numbers are 147, 834, 513, 996
In the factoring method, we have to find the divisors of all numbers
Divisors of 147 :
The positive integer divisors of 147 that completely divides 147 are.
1, 3, 7, 21, 49, 147
Divisors of 834 :
The positive integer divisors of 834 that completely divides 834 are.
1, 2, 3, 6, 139, 278, 417, 834
Divisors of 513 :
The positive integer divisors of 513 that completely divides 513 are.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 996 :
The positive integer divisors of 996 that completely divides 996 are.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
GCD of numbers is the greatest common divisor
So, the GCD (147, 834, 513, 996) = 3.
Given numbers are 147, 834, 513, 996
The list of prime factors of all numbers are
Prime factors of 147 are 3 x 7 x 7
Prime factors of 834 are 2 x 3 x 139
Prime factors of 513 are 3 x 3 x 3 x 19
Prime factors of 996 are 2 x 2 x 3 x 83
The highest common occurrence is 31
Therefore, GCD of 147, 834, 513, 996 is 3.
Given numbers are 147, 834, 513, 996
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(147, 834) = 40866
GCD(147, 834) = ( 147 x 834 ) / 40866
= 147 / 834
= 147
Step2:
LCM(3, 513) = 513
GCD(3, 513) = ( 3 x 513 ) / 513
= 3 / 513
= 3
Step3:
LCM(3, 996) = 996
GCD(3, 996) = ( 3 x 996 ) / 996
= 3 / 996
= 3
So, Greatest Common Divisor of 147, 834, 513, 996 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 147, 834, 513, 996
The greatest common divisor of numbers 147, 834, 513, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 147, 834, 513, 996 is 3.
1. What is the GCD of 147, 834, 513, 996?
GCD of given numbers 147, 834, 513, 996 is 3
2. How to calculate the greatest common divisor of 147, 834, 513, 996?
We can find the highest common divisor of 147, 834, 513, 996 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 147, 834, 513, 996 i.e 3.
3. How can I use the GCD of 147, 834, 513, 996Calculator?
Out the numbers 147, 834, 513, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.