using fundamental theorem of arithmetic find the HCF OF 26,51,91
Answers
Answered by
178
Hi ,
The Fundamental Theorem of
Arithmetic:
Every composite number can be
expressed as the product of powers
of primes , and this factorisation is
unique, except for the order of its
prime factors.
HCF:
The HCF of two positive integers is
defined as the product of the
smallest power of each common
prime factor in the numbers.
According to the given problem,
26 = 2 × 13
51 = 3 × 1 7
91 = 7 × 13
We observe that there is no common
prime factor
Therefore ,
HCF( 26 , 51 , 91 ) = 1
I hope this helps you.
***
The Fundamental Theorem of
Arithmetic:
Every composite number can be
expressed as the product of powers
of primes , and this factorisation is
unique, except for the order of its
prime factors.
HCF:
The HCF of two positive integers is
defined as the product of the
smallest power of each common
prime factor in the numbers.
According to the given problem,
26 = 2 × 13
51 = 3 × 1 7
91 = 7 × 13
We observe that there is no common
prime factor
Therefore ,
HCF( 26 , 51 , 91 ) = 1
I hope this helps you.
***
Answered by
37
Answer:
Step-by-step explanation:
26=1×2×13
52=1×2×2×13
91=1×91
HCF=1
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