20.
The HCF of 27 x 35 x 58 x 73 x 116 x 134 and 24 x
38 x 53 x 72 x 114 x 137 is equal to
(a) 24 x 35 x 53 x 72 x 114 x 134
(b) 24 x 35 x 53 x 73 x 114 x 133
(c) 24 x 33 53 x 73 x 114 x 137
(d) 24 x 35 x 58 x 72 x 112 x 134
Answers
Given : 27 x 35 x 58 x 73 x 116 x 134 and
24 x 38 x 53 x 72 x 114 x 137
To Find : HCF
(a) 24 x 35 x 53 x 72 x 114 x 134
(b) 24 x 35 x 53 x 73 x 114 x 133
(c) 24 x 33 53 x 73 x 114 x 137
(d) 24 x 35 x 58 x 72 x 112 x 134
Solution:
27 x 35 x 58 x 73 x 116 x 134
3³ x 5 x 7 x 2 x 29 x 73 x 2² x 29 x 2 x 67
= 2⁴ x 3³ x 5 x 7 x 29² x 67 x 73
24 x 38 x 53 x 72 x 114 x 137
= 2³ x 3 x 2 x 19 x 53 x 2³ x 3² x 2 x 3 x 19 x 137
= 2⁷ x 3⁴ x 19² x 53 x 137
HCF = 2⁴ x 3³
None of the given option matches for HCF
LCM = 2⁷ x 3⁴ x 5 x 7 x 19² x 29² x 53 x 67 x 73 x 137
137 is only in option c) but option c) does not have any multiple of 29
so That is also not possible
so none of the given option matches for LCM
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
LCM - Least common multiplier of given numbers is the least number which is perfectly divisible by given numbers.
LCM = product of each factor of highest power
Learn More:
find the hcf of 75 and 243 using Euclid division algorithm express in ...
brainly.in/question/9266837
find the hcf of 96 and 336 and express it as a linear combination of ...
brainly.in/question/10749751
Find the HCF of 506 and 1155 as a linear combination of them ...
brainly.in/question/9246629