Question

HCF of 1020 and 11594 of

division method

Answer 1

by Euclid Division lemma
since,11594 >1020
then,11594=1020×11+374
since remainder 374≠0
1020=374×2+272
since remainder≠0
374=272×1+102
since remainder≠0
272=102×2+68
since remainder≠0
102=68×1+34
again remainder≠0
68=34×2+0
the remainder has now become zero
since the HCF of 1020 and 11594 is 34

Answer 2

Answer:

The HCF of 1020 and 11594 is 34.

Step-by-step explanation:

Given,

11594 >1020

then,11594=1020×11+374

since remainder 374≠0

1020=374×2+272

Step 1

since remainder≠0

374=272×1+102

since remainder≠0

272=102×2+68

Step 2

since remainder≠0

102=68×1+34

Step 3

again remainder≠0

68=34×2+0

Therefore,

The remainder has now become zero

The HCF of 1020 and 11594 is 34

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication

At an elementary level, the division of two natural numbers is, among other possible interpretations, the process of calculating the number of times one number is contained within another. 7  This number of times need not be an integer.

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