Question

(i). संख्याओं 5 और 10 का महत्तम समापवर्तक (HCF) होगा :​

Answer 1

Answer:

म.स.प. को सबसे बड़े धनात्मक पूर्णांक के रूप में परिभाषित किया गया है, जो शेषफल छोड़े बिना संख्याओं को विभाजित करता है।

अभाज्य गुणन विधि का उपयोग करने पर:

10 = 2 × 5

5 = 1 × 5

∴ 5, 10 के उभयनिष्ट गुणनखंड = 5

अतः 5, 10 का म.स.प. = 5

Answer 2

H.C.F. of 5 and 10 will be 5

H.C.F. or Highest Common Factor is the largest possible number among more than one number which completely divides them without leaving any remainder.

There are so many process to find H.C.F. of two numbers, for example-

• Prime Factorization
• Long division method etc..

Here we will explain it by long division method.

Step 1

At first, divide the large number by the small number. If the remainder is 0, the small number is the H.C.F.. If there is a remainder, follow the next steps.

Step 2

If there is a remainder divide the divisor by the remainder, if the remainder is 0, the previous remainder is the H.C.F. If the remainder is not 0, follow the next step.

Step 3

If the remainder is not 0, repeat Step 2 until it becomes 0.

For 5 and 10, 10/5 = 2, the remainder is 0,

So, the H.C.F. of 5 and 10 is 5.