If HCF of numbers 408 and 1032 can be expressed in the form of 1032 x

Foundation

Mathematics Foundation

Real Number Properties

Question

If HCF of numbers

408

and

1032

can be expressed in the form of

1032 x - 408 \times 5

, then find the value of

x

3

0

2

1

College PredictorLive

Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.

Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA

408 = 2 \times 2 \times 2 \times 3 \times 17

1032 = 2 \times 2 \times 2 \times 3 \times 43

Hence,

H C F = 2 \times 2 \times 2 \times 3 = 24

Now,

1032 x - 408 \times 5 = 24 \Rightarrow 1032 x = 2064 \Rightarrow x = 2