Among the following, a pair of co-primes is
a) (8, 28)
b) (25, 81)
c) (15, 17)
d) (59,61)
Answers
Given : pair of numbers
To Find : A pair of co-prime
a) (8,28)
b) (25,81)
c) (15,17)
d) (59,61)
Solution:
co-prime number are those number which has 1 as only common factor
HCF of coprime number is 1
HCF Highest common factor of given numbers is the largest factors which divides all the given numbers perfectly.
HCF = product of common factors of least power
2 Different prime numbers are always co prime
a) (8,28)
8 = 2 * 2 * 2
28 = 2 * 2 * 7
HCF = 2 * 2 = 4
Hence not co prime
b) (25,81)
25 = 5 * 5
81 = 3 * 3 * 3 * 3
HCF = 1
Hence 25 and 81 are co prime numbers
c) (15,17)
15 = 3 * 5
17 = 17
HCF = 1
Hence 15 and 17 are co prime numbers
d) (59,61)
59 and 61 are prime numbers
HCF ( 59 , 61) = 1
Hence 59 and 61 are co prime numbers
Pair of coprime numbers
(25 , 81) , (15 , 17) and ( 59 , 61)
correct options b, c and d
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Answer:
Hey mate
Here your answer
Given : pair of numbers
To Find : A pair of co-prime
a) (8,28)
b) (25,81)
c) (15,17)
d) (59,61)
Solution:
co-prime number are those number which has 1 as only common factor
HCF of coprime number is 1
HCF Highest common factor of given numbers is the largest factors which divides all the given numbers perfectly.
HCF = product of common factors of least power
2 Different prime numbers are always co prime
a) (8,28)
8 = 2 * 2 * 2
28 = 2 * 2 * 7
HCF = 2 * 2 = 4
Hence not co prime
b) (25,81)
25 = 5 * 5
81 = 3 * 3 * 3 * 3
HCF = 1
Hence 25 and 81 are co prime numbers
c) (15,17)
15 = 3 * 5
17 = 17
HCF = 1
Hence 15 and 17 are co prime numbers
d) (59,61)
59 and 61 are prime numbers
HCF ( 59 , 61) = 1
Hence 59 and 61 are co prime numbers
Pair of coprime numbers
(25 , 81) , (15 , 17) and ( 59 , 61)
correct options b, c and d