Online GCD Calculator is useful to find the GCD of 142, 540, 206, 270 quickly. Get the easiest ways to solve the greatest common divisor of 142, 540, 206, 270 i.e 2 in different methods as follows.
Given Input numbers are 142, 540, 206, 270
In the factoring method, we have to find the divisors of all numbers
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 540 :
The positive integer divisors of 540 that completely divides 540 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 206 :
The positive integer divisors of 206 that completely divides 206 are.
1, 2, 103, 206
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
GCD of numbers is the greatest common divisor
So, the GCD (142, 540, 206, 270) = 2.
Given numbers are 142, 540, 206, 270
The list of prime factors of all numbers are
Prime factors of 142 are 2 x 71
Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5
Prime factors of 206 are 2 x 103
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 142, 540, 206, 270 is 2.
Given numbers are 142, 540, 206, 270
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(142, 540) = 38340
GCD(142, 540) = ( 142 x 540 ) / 38340
= 142 / 540
= 142
Step2:
LCM(2, 206) = 206
GCD(2, 206) = ( 2 x 206 ) / 206
= 2 / 206
= 2
Step3:
LCM(2, 270) = 270
GCD(2, 270) = ( 2 x 270 ) / 270
= 2 / 270
= 2
So, Greatest Common Divisor of 142, 540, 206, 270 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 142, 540, 206, 270
The greatest common divisor of numbers 142, 540, 206, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 142, 540, 206, 270 is 2.
1. What is the GCD of 142, 540, 206, 270?
GCD of given numbers 142, 540, 206, 270 is 2
2. How to calculate the greatest common divisor of 142, 540, 206, 270?
We can find the highest common divisor of 142, 540, 206, 270 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 142, 540, 206, 270 i.e 2.
3. How can I use the GCD of 142, 540, 206, 270Calculator?
Out the numbers 142, 540, 206, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.