find HCF of the following Euclid algorithm irrelivent answers are reported
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2
Answer:
Euclid algorithm a=bq+r
a>B and 0⩽r<b
50 and 70
The positive integers are 50 and 70
70>50
Apply Euclid algorithm to 70 and 50
∴70=(50∗1)+20
The remainder is 20
Apply Euclid algorithm to 50 and 20
∴50=(20∗2)+10
The remainder is 10.
Apply Euclid algorithm to 20 and 10
∴20=(10∗2)+0
The remainder is zero.
∴ HCF of 70 and 50 is 10.
Answered by
0
Answer:
Your answers are 20, 24 and 50 respectively
Step-by-step explanation:
(1)
Let assume that,
a = bq + r
It's like, Dividend = Divisor × Quotient + Remainder
Now,
1) 50, 70
50= 2×5×5
70= 2×5×7
A = BQ + R
70 = 50×1 + 20. R not equal to 0
50= 20×2 + 10
20= 10 × 2 + 0
Hence,
HCF = 20
2)
96= 72×1 + 24
72= 24 × 3 + 0
Hence,
HCF = 24
3)
550= 300 × 1 + 250
300 = 250 ×1 + 50
250= 50× 5 + 0
HENCE,
HCF = 50
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