Find the H.C.F. of 2520 and 10530.
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Step-by-step explanation:
Fundamental Theorem of Arithmetic =" every composite number can be expressed or factorise as a product of primes, and this factorising is unique apart from the order in which the prime factors occur."
it simply says that every composite number can be factorised as a product of primes.
now,
finding HCF by prime factorization method
→2520= 2 x 2 x 2 x 3 x 3 x 5 x 7
→10530= 2 x 3 x 3 x 3 x 3 x 5 x 13
therefore,
→ HCF= 2 x 3 x 3 x 5= 90
→LCM= 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 7 x 13= 8 x 27 x 15 x 91= 216 x 1365= 294840
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Answer :D
HCF by prime factorization method
2520= 2 x 2 x 2 x 3 x 3 x 5 x 7
10530= 2 x 3 x 3 x 3 x 3 x 5 x 13
therefore,
HCF= 2 x 3 x 3 x 5= 90
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