The HCF of 2⁴×5²×7³×11, 2³×5³×7²×13 and 2⁵×3⁴×5²×7 is?
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Given:
2⁴×5²×7³×11, 2³×5³×7²×13 and 2⁵×3⁴×5²×7
To find:
HCF
Solution:
- HCF: Highest Common Factor
- To find HCF we need to list all their common prime factors and take their Least exponents.
HCF of 2⁴×5²×7³×11
2³×5³×7²×13
2⁵×3⁴×5²×7
Common Prime Factors Least Exponents
2 3
5 2
7 1
HCF = 2³×5²×7
=8×25×7
=1400
So the HCF of the give prime factors is 1400
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