Well, isn't that a happy little question! To find the Highest Common Factor (HCF) of 315 and 660, we look for the largest number that divides evenly into both. First, we can find the factors of each number and then identify the highest one they have in common. It's like finding a common color in two beautiful paintings, bringing them together in harmony.
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The first step is to express these numbers as products of their prime factors:
315 = 3x3x5x7
660 = 2x2x3x5x11
The next step is to identify any common prime factors. In this case the common prime factors are 3 and 5. Multiply these and you get:
3x5 = 15
Thus the HCF of 315 and 660 is 15.
The Highest Common Factor (HCF) of two numbers is the largest positive integer that divides both numbers without leaving a remainder. To find the HCF of 315 and 270, you can use the Euclidean algorithm. First, divide 315 by 270. This gives a quotient of 1 and a remainder of 45. Then, divide 270 by 45. This gives a quotient of 6 and no remainder. Since the remainder is now 0, the HCF is the divisor of the last division, which is 45. Therefore, the HCF of 315 and 270 is 45.
To have a HCF, you need at least 2 numbers. There is no HCF in just 1 number.
the HCF is 6
The HCF is 5.
The HCF of 16 & 33 is... 1