संख्या 24 और 18 में उभयनिष्ठ गुणनखंडो की संख्या क्या होगी
Answers
Given:
The numbers 24 and 18
To find:
The number of common factors
Solution:
We will write the factors of the two numbers:
24 = 1 × 2 × 2 × 2 × 3
18 = 1 × 2 × 3 × 3
We can get the common factors as follows:
Highest Common Factors (H.C.F. of 24 & 18) = 2 × 3 = 6
Also,
The factors of 24 are → 1, 2, 3, 4, 6, 8, 12 and 24
The factors of 18 are → 1, 2, 3, 6, 9 and 18
Common factors are → 1, 2, 3 and 6
∴ The no. of common factors in the number 24 & 18 is → 4
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प्रश्न :- संख्या 24 और 18 में उभयनिष्ठ गुणनखंडो की संख्या क्या होगी ?
उतर :-
हम जानते है कि ,
- गुणनखंड (Factor) वह सभी संख्याएं होती है , जिससे दी गई संख्या विभाजित हो ।
अब,
→ 24 के गुणनखंड = 1, 2, 3, 4, 6, 8, 12, 24 .
→ 18 के गुणनखंड = 1, 2, 3, 6, 9, 18 .
अतः
→ 24 एवं 18 के उभयनिष्ठ गुणनखंड(common factor) = 1,2,3 और 6 .
इसीलिए 24 और 18 के अभाज्य गुणनखंडो की संख्या 4 है ।l
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