Online GCD Calculator is useful to find the GCD of 132, 542, 708, 934 quickly. Get the easiest ways to solve the greatest common divisor of 132, 542, 708, 934 i.e 2 in different methods as follows.
Given Input numbers are 132, 542, 708, 934
In the factoring method, we have to find the divisors of all numbers
Divisors of 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 542 :
The positive integer divisors of 542 that completely divides 542 are.
1, 2, 271, 542
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 934 :
The positive integer divisors of 934 that completely divides 934 are.
1, 2, 467, 934
GCD of numbers is the greatest common divisor
So, the GCD (132, 542, 708, 934) = 2.
Given numbers are 132, 542, 708, 934
The list of prime factors of all numbers are
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 542 are 2 x 271
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 934 are 2 x 467
The highest common occurrence is 21
Therefore, GCD of 132, 542, 708, 934 is 2.
Given numbers are 132, 542, 708, 934
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(132, 542) = 35772
GCD(132, 542) = ( 132 x 542 ) / 35772
= 132 / 542
= 132
Step2:
LCM(2, 708) = 708
GCD(2, 708) = ( 2 x 708 ) / 708
= 2 / 708
= 2
Step3:
LCM(2, 934) = 934
GCD(2, 934) = ( 2 x 934 ) / 934
= 2 / 934
= 2
So, Greatest Common Divisor of 132, 542, 708, 934 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 132, 542, 708, 934
The greatest common divisor of numbers 132, 542, 708, 934 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 542, 708, 934 is 2.
1. What is the GCD of 132, 542, 708, 934?
GCD of given numbers 132, 542, 708, 934 is 2
2. How to calculate the greatest common divisor of 132, 542, 708, 934?
We can find the highest common divisor of 132, 542, 708, 934 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 132, 542, 708, 934 i.e 2.
3. How can I use the GCD of 132, 542, 708, 934Calculator?
Out the numbers 132, 542, 708, 934 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.