Online GCD Calculator is useful to find the GCD of 516, 948, 771, 342 quickly. Get the easiest ways to solve the greatest common divisor of 516, 948, 771, 342 i.e 3 in different methods as follows.
Given Input numbers are 516, 948, 771, 342
In the factoring method, we have to find the divisors of all numbers
Divisors of 516 :
The positive integer divisors of 516 that completely divides 516 are.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
Divisors of 948 :
The positive integer divisors of 948 that completely divides 948 are.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 771 :
The positive integer divisors of 771 that completely divides 771 are.
1, 3, 257, 771
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
GCD of numbers is the greatest common divisor
So, the GCD (516, 948, 771, 342) = 3.
Given numbers are 516, 948, 771, 342
The list of prime factors of all numbers are
Prime factors of 516 are 2 x 2 x 3 x 43
Prime factors of 948 are 2 x 2 x 3 x 79
Prime factors of 771 are 3 x 257
Prime factors of 342 are 2 x 3 x 3 x 19
The highest common occurrence is 31
Therefore, GCD of 516, 948, 771, 342 is 3.
Given numbers are 516, 948, 771, 342
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(516, 948) = 40764
GCD(516, 948) = ( 516 x 948 ) / 40764
= 516 / 948
= 516
Step2:
LCM(12, 771) = 3084
GCD(12, 771) = ( 12 x 771 ) / 3084
= 12 / 771
= 12
Step3:
LCM(3, 342) = 342
GCD(3, 342) = ( 3 x 342 ) / 342
= 3 / 342
= 3
So, Greatest Common Divisor of 516, 948, 771, 342 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 516, 948, 771, 342
The greatest common divisor of numbers 516, 948, 771, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 516, 948, 771, 342 is 3.
1. What is the GCD of 516, 948, 771, 342?
GCD of given numbers 516, 948, 771, 342 is 3
2. How to calculate the greatest common divisor of 516, 948, 771, 342?
We can find the highest common divisor of 516, 948, 771, 342 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 516, 948, 771, 342 i.e 3.
3. How can I use the GCD of 516, 948, 771, 342Calculator?
Out the numbers 516, 948, 771, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.