✌️✌️plzz take out the HCF of 60,84,108 plzz answer fast ❤️❤️✌️
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The prime factorisation of 60, 84 and 108 is :60 = 2 × 2 × 3 × 584 = 2 × 2 × 3 × 7108 = 2 × 2 × 3 × 3 × 3 HCF = 2 × 2 × 3 = 12
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Step-by-step explanation:
The full form of H.C.F. is Highest Common Factor. i.e. the number which is a factor of all the given numbers.
So, we need to find the factors of 60, 84 and 108.
So, let's get into it.
60=2×2×3×5
84=2×2×3×7
108=2×2×3×3×3
So, the factors are given.
We see that, 7 is a factor of 84 only, so this isn't the H.C.F.
Similarly, 5 is a factor of 60, not of 84 and 108.
But, 2 is a factor of all the given numbers which is present twice
And 3 is a factor of all the given numbers.
Therefore, the H.C.F. of 60, 84 and 108 is 2×2×3=12
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