Advertisements
Advertisements
प्रश्न
Using prime factorization, find the HCF and LCM of 12,15, 21 .
उत्तर
12 = 2 × 2 × 3 = 22 × 3
15 = 3 × 5
21 = 3 × 7
HCF = product of smallest power of each common prime factor in the numbers = 3
LCM = product of greatest power of each prime factor involved in the numbers
= 22 × 3 × 5 × 7 = 420
APPEARS IN
संबंधित प्रश्न
Using Euclid's division algorithm, find the H.C.F. of 135 and 225
Using Euclid's division algorithm, find the H.C.F. of 196 and 38220
Using Euclid's division algorithm, find the H.C.F. of (iii) 867 and 255
The length, breadth and height of a room are 8 m 25 cm, 6 m 75 cm and 4 m 50 cm, respectively. Determine the longest rod which can measure the three dimensions of the room exactly.
Is it possible to have two numbers whose HCF is 18 and LCM is 760?
Give reason.
Without actual division, show that each of the following rational numbers is a terminating decimal. Express each in decimal form.
(i) `24/125`
Without actual division show that each of the following rational numbers is a non-terminating repeating decimal.
(i)`77/210`
Determine the number nearest to 110000 but greater than 100000 which is exactly divisible by each of 8, 15 and 21.
Using Euclid’s division algorithm, find the largest number that divides 1251, 9377 and 15628 leaving remainders 1, 2 and 3, respectively.
What is the greatest possible speed at which a man can walk 52 km and 91 km in an exact number of hours?