which of the Year of number are co-prime
(30,415) (17,68) (16,81) and (15,100)
Answers
Answer:
Those numbers which have only 1 as the highest common factor or just a common factor are called co-prime numbers.
In this question,
⇒ Factors of 415=1, 5, 83, 415.415=1,5,83,415.
⇒ Factors of 30=1,2,3,5,6,10,15,3030=1,2,3,5,6,10,15,30
Hence, they both have 1\ and\ 51 and 5 as common factors out of which 5 is the HCF. therefore option (a) is not the correct option.
⇒ Factors of 17=1,1717=1,17
⇒ Factors of 69=1,3,23,6969=1,3,23,69
They do not have any factor in common except 1 which makes it the HCF. Therefore, option (b) is correct.
⇒Factors of 16=1,2,4,8,1616=1,2,4,8,16
⇒Factors of 81=1,3,9,27,8181=1,3,9,27,81
Hence, They too do not have any common factor except 1. Therefore, option (c) is also correct.
⇒Factors of 15=1,3,5,1515=1,3,5,15
⇒Factors of 100=1,2,4,5,10,20,25,50,100100=1,2,4,5,10,20,25,50,100
Hence, they both have 1\ and\ 51 and 5 as common factors which makes 5 as the HCF. Therefore option (d) is incorrect.
Step-by-step explanation:
hopefully this will help you
