hcf of continued division method of 125 75 290
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Answer:
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The HCF using continued Division of 75, 125, and 290 is 5
Explanation:
Given Numbers:
125 75 290
To find:
The HCF using Continued Division Method
Continued Division Method (or) Successive Division Method:
Continued Division Method is a process of dividing the given Largest number by the Smallest Number. The Previous Divisor of remainder Zero is an HCF of the given number.
Step 1: Arrange the Given numbers in Ascending Order
==> The Given Numbers are 125, 75 and 290
==> Ascending Order is 75, 125 and 290
Step 2: Find HCF using Continued Division Method of 75 and 125
==> Consider 75 and 125
==> larger number is 125
==> Smaller number is 75
==> Dividend is 125
==> Divisor is 75
_1_
75 | 125
75
50 (Remainder)
==> Now, the Remainder 50 will become Divisor
==> The Divisor will 75 become Dividend
_1_
50 | 75
50
25 (Remainder)
==> Now, the Remainder 25 will become Divisor
==> The Divisor 50 will become Dividend
_2_
25 | 50
50
0 (Remainder)
==> The Remainder is zero
==> The Divisor 25 is the HCF
==> The HCF using continued Division of 75 and 125 is 25
Step 3: Find HCF using Continued Division Method of 25 and 290
==> Consider 25 and 290
==> larger number is 290
==> Smaller number is 25
==> Dividend is 290
==> Divisor is 25
_11 _
25 | 290
275
15 (Remainder)
==> Now, the Remainder 15 will become Divisor
==> The Divisor will 25 become Dividend
_1_
15 | 25
15
10 (Remainder)
==> Now, the Remainder 10 will become Divisor
==> The Divisor 15 will become Dividend
_1 _
10 | 15
10
5 (Remainder)
==> Now, the Remainder 5 will become Divisor
==> The Divisor 10 will become Dividend
_2 _
5 | 10
10
0 (Remainder)
==> The Remainder is zero
==> The Divisor 5 is the HCF
The HCF using continued Division of 75, 125 and 290 is 5