यदि \(a=2^7\times3^4\times13^2\) और \(b=2^5\times3^6\times5^2\times13\), तो (a) और (b) का महत्तम समापवर्तक क्या होगा?
If \(a=2^7\times3^4\times13^2\) and \(b=2^5\times3^6\times5^2\times13\), what is the HCF of (a) and (b)?
Explanation opens after your attempt
Correct Answer
A. 323136
Concept
The common prime factors are 2, 3, and 13.
Why this answer is correct
The smaller powers are \(2^5\), \(3^4\), and \(13^1\).
Exam Tip
\(32\times81\times13=33696\), so the correct HCF is 33696. चरण 1: समान अभाज्य गुणनखंड 2, 3 और 13 हैं। चरण 2: छोटी घातें \(2^5\), \(3^4\) और \(13^1\) हैं। चरण 3: \(32\times81\times13=33696\), इसलिए सही महत्तम समापवर्तक 33696 है।
Login to save your score, XP, coins and progress.