Finding Highest Common Factor(HCF) of Two Numbers - 2

# Finding Highest Common Factor(HCF) of Two Numbers - 2 Video Lecture | Mathematics & Pedagogy - CTET & State TET

## Mathematics & Pedagogy

151 videos|108 docs|69 tests

## FAQs on Finding Highest Common Factor(HCF) of Two Numbers - 2 Video Lecture - Mathematics & Pedagogy - CTET & State TET

 1. What is the highest common factor (HCF) of two numbers?
Ans. The highest common factor (HCF) of two numbers is the largest number that divides both of them without leaving a remainder.
 2. How can I find the HCF of two numbers?
Ans. To find the HCF of two numbers, you can use different methods such as prime factorization, division method, or Euclidean algorithm. These methods involve finding the common factors and selecting the highest one.
 3. What is prime factorization method to find the HCF?
Ans. The prime factorization method involves finding the prime factors of both numbers and then identifying the common prime factors. The HCF is obtained by multiplying these common prime factors together.
 4. Can you explain the division method to find the HCF?
Ans. In the division method, you divide the larger number by the smaller number and find the remainder. Then, divide the smaller number by this remainder. Continue this process until the remainder becomes zero. The last non-zero remainder obtained is the HCF of the two numbers.
 5. What is the Euclidean algorithm for finding the HCF?
Ans. The Euclidean algorithm is a recursive method to find the HCF of two numbers. It involves repeatedly dividing the larger number by the smaller number and taking the remainder. Then, you swap the numbers and repeat the process until the remainder becomes zero. The last non-zero remainder obtained is the HCF of the two numbers.

## Mathematics & Pedagogy

151 videos|108 docs|69 tests

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