Online GCD Calculator is useful to find the GCD of 270, 224, 425, 658 quickly. Get the easiest ways to solve the greatest common divisor of 270, 224, 425, 658 i.e 1 in different methods as follows.
Given Input numbers are 270, 224, 425, 658
In the factoring method, we have to find the divisors of all numbers
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 224 :
The positive integer divisors of 224 that completely divides 224 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
Divisors of 425 :
The positive integer divisors of 425 that completely divides 425 are.
1, 5, 17, 25, 85, 425
Divisors of 658 :
The positive integer divisors of 658 that completely divides 658 are.
1, 2, 7, 14, 47, 94, 329, 658
GCD of numbers is the greatest common divisor
So, the GCD (270, 224, 425, 658) = 1.
Given numbers are 270, 224, 425, 658
The list of prime factors of all numbers are
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 425 are 5 x 5 x 17
Prime factors of 658 are 2 x 7 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 270, 224, 425, 658
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(270, 224) = 30240
GCD(270, 224) = ( 270 x 224 ) / 30240
= 270 / 224
= 270
Step2:
LCM(2, 425) = 850
GCD(2, 425) = ( 2 x 425 ) / 850
= 2 / 425
= 2
Step3:
LCM(1, 658) = 658
GCD(1, 658) = ( 1 x 658 ) / 658
= 1 / 658
= 1
So, Greatest Common Divisor of 270, 224, 425, 658 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 270, 224, 425, 658
The greatest common divisor of numbers 270, 224, 425, 658 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 224, 425, 658 is 1.
1. What is the GCD of 270, 224, 425, 658?
GCD of given numbers 270, 224, 425, 658 is 1
2. How to calculate the greatest common divisor of 270, 224, 425, 658?
We can find the highest common divisor of 270, 224, 425, 658 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 270, 224, 425, 658 i.e 1.
3. How can I use the GCD of 270, 224, 425, 658Calculator?
Out the numbers 270, 224, 425, 658 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.