Book Online Demo

Check Your IQ

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

The HCF and LCM of $89, 1027$ and $1681$ is and respectively.

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

The HCF and LCM of

89, 1027

and

1681

281

and

809

respectively.
Now, the HCF and LCM of fractions is given as follows,

HCF of fractions = HCF of Numerators LCM of Denominators

LCM of fractions = LCM of Numerators HCF of Denominators

We first do the prime factorisation of the numerators and denominators of all the three fractions.

8 = 2 × 2 × 2 10 = 2 × 5 16 = 2 × 2 × 2 × 2

9 = 3 × 3 27 = 3 × 3 × 3 81 = 3 × 3 × 3 × 3

Therefore, we have,
LCM (8, 10, 16) =

24 × 5

HCF (8, 10, 16) =

2

LCM (9, 27, 81) =

34

HCF (9, 27, 81) =

3 x 3

Now, as per the formula, we have,

HCF 89, 1027, 1681 = HCF (8, 10, 16) LCM (9, 27, 81) = 234 = 281

So, the HCF is

281

LCM 89, 1027, 1681 = LCM (8, 10, 16) HCF (9, 27, 81) = 24 × 5 3 × 3 = 2 × 2 × 2 × 2 × 5 3 × 3 = 809

The LCM is

809

.
Hence, the HCF and LCM of

89, 1027

and

1681

281

and

809

respectively.

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Get Expert Academic Guidance – Connect with a Counselor Today!