model 3 find hcf of numbers Section-Wise Topic Notes With Detailed Explanation And Example Questions

Answer: (d)

Required maximum capacity of container

= HCF of 75 l and 45 l

Now, 75 = 5 × 5 × 3

45 = 5 × 3 × 3

∴ HCF = 15 litres

Answer: (b)

Using Rule 7,

(The largest number which when divide the numbers a, b and c give remainders as p, q, r respectively is given by H.C.F. of (a – p), (b – q) and (c – r).)

Required number

= HCF of (110 – 2) and (128 – 2)

= HCF of 108 and 126 = 18

Answer: (b)

Using Rule 7,

Required number

= HCF of (729 – 9)

= 720 and (901 – 5)

= 896

H.C.F = 16

Answer: (c)

Using Rule 7,

(The largest number which when divide the numbers a, b and c give remainders as p, q, r respectively is given by H.C.F. of (a – p), (b – q) and (c – r).)

The number will be HCF of

307 – 3 = 304 and 330 – 7 = 323.

∴ Required number = 19

Answer: (d)

Using Rule 7,

(The largest number which when divide the numbers a, b and c give remainders as p, q, r respectively is given by H.C.F. of (a – p), (b – q) and (c – r). )

Required number

= HCF of 411 – 3 = 408; 684 – 4 = 680 and 821 – 5 = 816

HCF of 408 and 816 = 408

HCF of 408 and 680

∴ Required number = 136

Answer: (a)

Required number = HCF of 200 and 320 = 40

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