The greatest common divisor (GCD) of two or more numbers, which are not all zero, is the largest positive number that divides each of the numbers.
Input : 0.3, 0.9 Output : 0.3 Input : 0.48, 0.108 Output : 0.012
The simplest approach to solve this problem is :
Expressing each of the numbers without decimals as the product of primes we get:
Now, H.C.F. of 120 and 2250 = 2*3*5=30
Therefore,the H.C.F. of 1.20 and 22.5=0.30
(taking 2 decimal places)
We can do this using the Euclidean algorithm. This algorithm indicates that if the smaller number is subtracted from a bigger number, GCD of two numbers doesn’t change.
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