model 3 find hcf of numbers Practice Questions Answers Test with Solutions & More Shortcuts

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 (989 – 5) and (1327 – 7)

= HCF of 984 and 1320 = 24

∴ HCF = 24

Answer: (c)

Number of books in each stack

= HCF of 336, 240, 96 = 48

∴ Total number of stacks

=$336/48 + 240/ 48 + 96/48$

=7 + 5 + 2 = 14

Answer: (a)

Required number = HCF of 200 and 320 = 40

Illustration :

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: (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