Online GCD Calculator is useful to find the GCD of 270, 615, 196, 624 quickly. Get the easiest ways to solve the greatest common divisor of 270, 615, 196, 624 i.e 1 in different methods as follows.
Given Input numbers are 270, 615, 196, 624
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 615 :
The positive integer divisors of 615 that completely divides 615 are.
1, 3, 5, 15, 41, 123, 205, 615
Divisors of 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 624 :
The positive integer divisors of 624 that completely divides 624 are.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
GCD of numbers is the greatest common divisor
So, the GCD (270, 615, 196, 624) = 1.
Given numbers are 270, 615, 196, 624
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 615 are 3 x 5 x 41
Prime factors of 196 are 2 x 2 x 7 x 7
Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 270, 615, 196, 624
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(270, 615) = 11070
GCD(270, 615) = ( 270 x 615 ) / 11070
= 270 / 615
= 270
Step2:
LCM(15, 196) = 2940
GCD(15, 196) = ( 15 x 196 ) / 2940
= 15 / 196
= 15
Step3:
LCM(1, 624) = 624
GCD(1, 624) = ( 1 x 624 ) / 624
= 1 / 624
= 1
So, Greatest Common Divisor of 270, 615, 196, 624 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 270, 615, 196, 624
The greatest common divisor of numbers 270, 615, 196, 624 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 615, 196, 624 is 1.
1. What is the GCD of 270, 615, 196, 624?
GCD of given numbers 270, 615, 196, 624 is 1
2. How to calculate the greatest common divisor of 270, 615, 196, 624?
We can find the highest common divisor of 270, 615, 196, 624 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, 615, 196, 624 i.e 1.
3. How can I use the GCD of 270, 615, 196, 624Calculator?
Out the numbers 270, 615, 196, 624 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.