Online GCD Calculator is useful to find the GCD of 215, 980, 730 quickly. Get the easiest ways to solve the greatest common divisor of 215, 980, 730 i.e 5 in different methods as follows.
Given Input numbers are 215, 980, 730
In the factoring method, we have to find the divisors of all numbers
Divisors of 215 :
The positive integer divisors of 215 that completely divides 215 are.
1, 5, 43, 215
Divisors of 980 :
The positive integer divisors of 980 that completely divides 980 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Divisors of 730 :
The positive integer divisors of 730 that completely divides 730 are.
1, 2, 5, 10, 73, 146, 365, 730
GCD of numbers is the greatest common divisor
So, the GCD (215, 980, 730) = 5.
Given numbers are 215, 980, 730
The list of prime factors of all numbers are
Prime factors of 215 are 5 x 43
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
Prime factors of 730 are 2 x 5 x 73
The highest common occurrence is 51
Therefore, GCD of 215, 980, 730 is 5.
Given numbers are 215, 980, 730
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(215, 980) = 42140
GCD(215, 980) = ( 215 x 980 ) / 42140
= 215 / 980
= 215
Step2:
LCM(5, 730) = 730
GCD(5, 730) = ( 5 x 730 ) / 730
= 5 / 730
= 5
So, Greatest Common Divisor of 215, 980, 730 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 215, 980, 730
The greatest common divisor of numbers 215, 980, 730 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 215, 980, 730 is 5.
1. What is the GCD of 215, 980, 730?
GCD of given numbers 215, 980, 730 is 5
2. How to calculate the greatest common divisor of 215, 980, 730?
We can find the highest common divisor of 215, 980, 730 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 215, 980, 730 i.e 5.
3. How can I use the GCD of 215, 980, 730Calculator?
Out the numbers 215, 980, 730 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.