Final answer:
Without specific numbers provided, an explanation of Euclid's division algorithm was given including an example to illustrate the process for finding the highest common factor.
Step-by-step explanation:
The question provided seems to be incomplete as it mentions that 'Anandi is trying to find the highest common factor using Euclid's division algorithm', but the actual numbers she is working with are not provided. However, I can explain Euclid's division algorithm and how it is used to find the highest common factor (HCF), also known as the greatest common divisor (GCD).
When given two numbers, we start by dividing the larger number by the smaller one and find the remainder. We then replace the larger number with the smaller number, and the smaller number with the remainder, and continue this process until the remainder is zero. The last non-zero remainder is the HCF of the two original numbers. For example, to find the HCF of 240 and 46, we follow these steps:
- 240 divided by 46 gives a quotient of 5 and a remainder of 10.
- 46 divided by 10 gives a quotient of 4 and a remainder of 6.
- 10 divided by 6 gives a quotient of 1 and a remainder of 4.
- 6 divided by 4 gives a quotient of 1 and a remainder of 2.
- 4 divided by 2 gives a quotient of 2 and a remainder of 0.
Since the last remainder before zero was 2, the HCF of 240 and 46 is 2.