Find HCF of 360, 504 and 864 using continued division.
Mathematics
ScanSolve AI Answer
Step-by-step solution
2 stepsTo find the Highest Common Factor (HCF) of 360, 504, and 864 using continued division, we'll first find the HCF of two numbers, and then find the HCF of that result and the third number.
Find the HCF of 360 and 504.
Divide 504 by 360:
504 = 1 × 360 + 144Divide 360 by the remainder 144:
360 = 2 × 144 + 72Divide 144 by the remainder 72:
144 = 2 × 72 + 0
The HCF of 360 and 504 is 72.Find the HCF of the result from Step 1 (72) and the third number (864).
Divide 864 by 72:
864 = 12 × 72 + 0
The HCF of 72 and 864 is 72.Therefore, the HCF of 360, 504, and 864 is 72.
Was this helpful?
Still stuck on this one?
Ask a follow-up, and the answer starts from this question.
Got a different question?Ask your own question
More Mathematics Questions
QFind the HCF of 24 & 36, 40 & 60, 54 & 72 & 90, 432 & 72, 14 & 21 & 28QLet's find the H.C.F. of the following numbers by factorisation method. e) 36, 48 f) 30, 75, 90 g)…QFind the HCF by the division method and reduce to the simplest form.QFind the HCF of. 30 and 45QFind the HCF of the following by prime-factorisation method: (i) 36, 60 (ii) 45, 85 (iii) 16, 40…
Browse by topic:Number Theory