Question : Find the HCF of $\left(4^{315}-1\right)$ and $\left(4^{25}-1\right)$.
Option 1: $1$
Option 2: $\left(4^{25}-1\right)$
Option 3: $1024$
Option 4: $1023$

Question

Question : Find the HCF of $\left(4^{315}-1\right)$ and $\left(4^{25}-1\right)$.

Option 1: $1$

Option 2: $\left(4^{25}-1\right)$

Option 3: $1024$

Option 4: $1023$

Team Careers360 · Accepted Answer

Correct Answer: $1023$

Solution : Given numbers: $\left(4^{315}-1\right)$ and $\left(4^{25}-1\right)$
Now, HCF (315, 25) = 5
So, HCF of {(4³¹⁵– 1) and (4²⁵– 1)} = ( 4⁵ – 1)
= 1024 – 1
= 1023
Hence, the correct answer is $1023$.

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Question : Find the HCF of $\left(4^{315}-1\right)$ and $\left(4^{25}-1\right)$.Option 1: $1$Option 2: $\left(4^{25}-1\right)$Option 3: $1024$Option 4: $1023$

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Question : Find the HCF of $\left(4^{315}-1\right)$ and $\left(4^{25}-1\right)$.
Option 1: $1$
Option 2: $\left(4^{25}-1\right)$
Option 3: $1024$
Option 4: $1023$