Online GCD Calculator is useful to find the GCD of 542, 270, 217, 245 quickly. Get the easiest ways to solve the greatest common divisor of 542, 270, 217, 245 i.e 1 in different methods as follows.
Given Input numbers are 542, 270, 217, 245
In the factoring method, we have to find the divisors of all numbers
Divisors of 542 :
The positive integer divisors of 542 that completely divides 542 are.
1, 2, 271, 542
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
Divisors of 217 :
The positive integer divisors of 217 that completely divides 217 are.
1, 7, 31, 217
Divisors of 245 :
The positive integer divisors of 245 that completely divides 245 are.
1, 5, 7, 35, 49, 245
GCD of numbers is the greatest common divisor
So, the GCD (542, 270, 217, 245) = 1.
Given numbers are 542, 270, 217, 245
The list of prime factors of all numbers are
Prime factors of 542 are 2 x 271
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 217 are 7 x 31
Prime factors of 245 are 5 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 542, 270, 217, 245
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(542, 270) = 73170
GCD(542, 270) = ( 542 x 270 ) / 73170
= 542 / 270
= 542
Step2:
LCM(2, 217) = 434
GCD(2, 217) = ( 2 x 217 ) / 434
= 2 / 217
= 2
Step3:
LCM(1, 245) = 245
GCD(1, 245) = ( 1 x 245 ) / 245
= 1 / 245
= 1
So, Greatest Common Divisor of 542, 270, 217, 245 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 542, 270, 217, 245
The greatest common divisor of numbers 542, 270, 217, 245 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 542, 270, 217, 245 is 1.
1. What is the GCD of 542, 270, 217, 245?
GCD of given numbers 542, 270, 217, 245 is 1
2. How to calculate the greatest common divisor of 542, 270, 217, 245?
We can find the highest common divisor of 542, 270, 217, 245 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 542, 270, 217, 245 i.e 1.
3. How can I use the GCD of 542, 270, 217, 245Calculator?
Out the numbers 542, 270, 217, 245 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.