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Answer :
Answer:
33
Step-by-step explanation:
You want the greatest common factor of 330 and 693.
Euclid's algorithm
We can find the greatest common divisor (GCD) of the two numbers using Euclid's algorithm.
- Divide the larger by the smaller
- If the remainder is 0, the divisor is the GCD; stop.
- Replace the larger number with the remainder and repeat.
Executing this algorithm, we have ...
693 ÷ 330 = 2 r 33
330 ÷ 33 = 10 r 0 . . . . . . . 33 is the GCD
The highest common factor is 33.
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Final answer:
The highest common factor (HCF) of 330 and 693 is 33, which can be found using the prime factorization method to find the common primes in both numbers and then multiply them.
Explanation:
The highest common factor (HCF), sometimes known as the greatest common divisor (GCD), of two numbers is the largest number that divides evenly into both numbers without leaving a remainder. We are asked to find the HCF of 330 and 693. Let's do it through prime factorization method:
- First find the prime factors of both numbers. The prime factors of 330 are 2, 3, 5, 11 and prime factors of 693 are 3, 3, 7, 11.
- Then find the common prime factors. In this case, it is 3 and 11.
- Multiply these common primes to get the HCF. So, 3*11 = 33 which is the HCF of 330 and 693.
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