Question

प्रश्न 6 संख्याओं 6 और 20 का अभाज्य गुणनखंडन विधि से H.C.F. ज्ञात कीजिए।
(अथवा)
13​

Answer 1

SOLUTION

TO DETERMINE

HCF by the prime factorisation of the numbers 6 and 20

EVALUATION

STEP : 1

Write down the given numbers

The given numbers are 6 and 20

STEP : 2

Prime factorise the numbers

$\sf{6 = 2 \times 3}$

$\sf{20 = 2 \times 2 \times 5}$

STEP : 3

Find the common prime factors

Here 2 is the only common prime factors of 6 and 20

STEP : 4

Find the HCF

Since 2 is the only common prime factors of 6 and 20

So the required HCF = 2

FINAL ANSWER

Hence the required HCF = 2

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