Find the HCF of the following numbers using prime factorization.
1. 225,300,375
2. 42,63,105
3. 112,140,168
1. 225,300,375
2. 42,63,105
3. 112,140,168
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Answer:
1)225=5×5×3×3
300=2×2×3×5×5
375=3×5×5×5
HCF of (225,300,375)=5²×3=25×3=75
2)42=2×3×7
63=7×3×3
105=3×5×7
HCF of (42,63,105)=7×3=21
3)112=2×2×2×2×7
140=2×2×5×7
168=2×2×2×3×7
HCF of (112,140,168)=2²×7=4×7=28
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