Online GCD Calculator is useful to find the GCD of 477, 270, 294, 342 quickly. Get the easiest ways to solve the greatest common divisor of 477, 270, 294, 342 i.e 3 in different methods as follows.
Given Input numbers are 477, 270, 294, 342
In the factoring method, we have to find the divisors of all numbers
Divisors of 477 :
The positive integer divisors of 477 that completely divides 477 are.
1, 3, 9, 53, 159, 477
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 294 :
The positive integer divisors of 294 that completely divides 294 are.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
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 (477, 270, 294, 342) = 3.
Given numbers are 477, 270, 294, 342
The list of prime factors of all numbers are
Prime factors of 477 are 3 x 3 x 53
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 294 are 2 x 3 x 7 x 7
Prime factors of 342 are 2 x 3 x 3 x 19
The highest common occurrence is 31
Therefore, GCD of 477, 270, 294, 342 is 3.
Given numbers are 477, 270, 294, 342
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(477, 270) = 14310
GCD(477, 270) = ( 477 x 270 ) / 14310
= 477 / 270
= 477
Step2:
LCM(9, 294) = 882
GCD(9, 294) = ( 9 x 294 ) / 882
= 9 / 294
= 9
Step3:
LCM(3, 342) = 342
GCD(3, 342) = ( 3 x 342 ) / 342
= 3 / 342
= 3
So, Greatest Common Divisor of 477, 270, 294, 342 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 477, 270, 294, 342
The greatest common divisor of numbers 477, 270, 294, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 477, 270, 294, 342 is 3.
1. What is the GCD of 477, 270, 294, 342?
GCD of given numbers 477, 270, 294, 342 is 3
2. How to calculate the greatest common divisor of 477, 270, 294, 342?
We can find the highest common divisor of 477, 270, 294, 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 477, 270, 294, 342 i.e 3.
3. How can I use the GCD of 477, 270, 294, 342Calculator?
Out the numbers 477, 270, 294, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.