About HCF and LCM?
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Answers
Answer:
In mathematics, the greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers. For two integers x, y, the greatest common divisor of x and y is denoted {\displaystyle \gcd}.
In arithmetic and number theory, the least common multiple, lowest common multiple, or smallest common multiple of two integers a and b, usually denoted by lcm, is the smallest positive integer that is divisible by both a and b
Step-by-step explanation:
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Answer:
HCF:
The Highest Common Factor (HCF) of two or more given numbers is the largest number which divides each of the given numbers without leaving any remainder.
LCM:
The Lowest Common Multiple (LCM) of two or more numbers is the smallest of the common multiples of those numbers.
How to find?
HCF
HCF of two numbers by Division Method
1. First, divide the large number by a small number.
2. If the remainder is left, then divide the first divisor by remainder.
3. If the remainder divides the first divisor completely, then it is the HCF or highest common factor of the given two numbers.
Or
HCF by Prime Factorization
1. Find the prime factors of each of the given number.
2. Next, we identify the common prime factors of the given numbers.
3. We then multiply the common factors. The product of these common factors is the HCF of the given numbers.
LCM
LCM By Division Method
First, write the numbers, separated by commas.
Now divide the numbers, with the smallest prime number.
If any number is not divisible, then write down that number and proceed further.
Keep on dividing the row of numbers by prime numbers, unless we get the results as 1 in the complete row.
LCM by prime factorization method
1. Find the prime factorization of each number.
2. Write each number as a product of primes, matching primes vertically when possible.
3. Bring down the primes in each column.
4. Multiply the factors to get the LCM.