Find the HCF of 15,90,105 by prime factorisation
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H.c.f of 15,90,105 is 15
15 = 3,5
90 = 3,3,5,2
105 = 3,5,7
H.C.F = 3×5 = 15
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first you will find the HCF of 650, 350and 750
by any method but you have told by prime factorisation method
650 = 2 × 5 × 5 × 13
750 = 2 × 3 × 5 × 5 × 5
350 = 2•52•7.
= 2×175
= 5×35=. 2×5×7×5{ in simple words)
~so the common factor of that no are 2×5×5
=50 Greatest no which divide 650 350 750
Now you have told 15 ,90.105
HCF
Pf of 15 = 3×5
pf of 90= 2 × 3 × 3 × 5
of
pf of 105 = 3×5×7
common factor 3×5
= 15
so the greatest no which divide 15,90,105
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