find out the HCF of 12,13 by prim factorisation
Answers
Answer:
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Step-by-step explanation:
GCF of 12 and 13 by Prime Factorization
Prime factorization of 12 and 13 is (2 × 2 × 3) and (13) respectively. As visible, there are no common prime factors between 12 and 13, i.e. they are coprime. Hence, the GCF of 12 and 13 will be 1.
Answer:
Prime factorization of 12 and 13 is (2 × 2 × 3) = 2 2 × 3 1 and (13) = 13 1 respectively. LCM of 12 and 13 can be obtained by multiplying prime factors raised to their respective highest power, i.e. 2 2 × 3 1 × 13 1 = 156. Hence, the LCM of 12 and 13 by prime factorization is 156.
Step-by-step explanation:
To calculate the LCM of 12 and 13 by the division method, we will divide the numbers(12, 13) by their prime factors (preferably common). The product of these divisors gives the LCM of 12 and 13.
Step 1: Find the smallest prime number that is a factor of at least one of the numbers, 12 and 13. Write this prime number(2) on the left of the given numbers(12 and 13), separated as per the ladder arrangement.
Step 2: If any of the given numbers (12, 13) is a multiple of 2, divide it by 2 and write the quotient below it. Bring down any number that is not divisible by the prime number.
Step 3: Continue the steps until only 1s are left in the last row.
The LCM of 12 and 13 is the product of all prime numbers on the left, i.e. LCM(12, 13) by division method = 2 × 2 × 3 × 13 = 156.
LCM of 12 and 13 by Listing Multiples