Question

State the Fundamental theorem of Arithmetic. Applying the Fundamental theorem of Arithmetic, find the HCF of 4192 and 1352 and hence find their LCM

Answer 1

Answer:

Answer

Correct option is

A

L.C.M. =4080 and H.C.F =34

According to the fundamental theorem of arithmetic every composite number can be factorised as a product of primes and this factorization is unique apart from the order in which the prime factor occurs.

Fundamental theorem of arithmetic is also called unique factorization theorem.

Composite number = product of prime numbers.

Any Integer greater than 1, either be a prime number or can be written as a product of prime factors.

The prime factors of 816=2×2×2×2×3×17=2

4

×3×17

The prime factors of 170=2×5×17

LCM of 816 and 170=2

4

×3×5×17=4080

HCF of 816 and 170=2×17=34

Option A.

please mark me as a brainlist please!

Answer 2

Answer:

Step-by-step explanation: