Online GCD Calculator is useful to find the GCD of 402, 588, 135, 114 quickly. Get the easiest ways to solve the greatest common divisor of 402, 588, 135, 114 i.e 3 in different methods as follows.
Given Input numbers are 402, 588, 135, 114
In the factoring method, we have to find the divisors of all numbers
Divisors of 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 588 :
The positive integer divisors of 588 that completely divides 588 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
GCD of numbers is the greatest common divisor
So, the GCD (402, 588, 135, 114) = 3.
Given numbers are 402, 588, 135, 114
The list of prime factors of all numbers are
Prime factors of 402 are 2 x 3 x 67
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 114 are 2 x 3 x 19
The highest common occurrence is 31
Therefore, GCD of 402, 588, 135, 114 is 3.
Given numbers are 402, 588, 135, 114
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(402, 588) = 39396
GCD(402, 588) = ( 402 x 588 ) / 39396
= 402 / 588
= 402
Step2:
LCM(6, 135) = 270
GCD(6, 135) = ( 6 x 135 ) / 270
= 6 / 135
= 6
Step3:
LCM(3, 114) = 114
GCD(3, 114) = ( 3 x 114 ) / 114
= 3 / 114
= 3
So, Greatest Common Divisor of 402, 588, 135, 114 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 402, 588, 135, 114
The greatest common divisor of numbers 402, 588, 135, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 588, 135, 114 is 3.
1. What is the GCD of 402, 588, 135, 114?
GCD of given numbers 402, 588, 135, 114 is 3
2. How to calculate the greatest common divisor of 402, 588, 135, 114?
We can find the highest common divisor of 402, 588, 135, 114 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 402, 588, 135, 114 i.e 3.
3. How can I use the GCD of 402, 588, 135, 114Calculator?
Out the numbers 402, 588, 135, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.