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Question
how to find HCF( highest common factor) of 2400, 2800 ,3360?
how to find HCF( highest common factor) of 2400, 2800 ,3360?
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Solution
Given numbers can be prime factorized as follows:
2400 = 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5
2800 = 2 × 2 × 2 × 2 × 5 × 5 × 7
3360 = 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7
It can be seen that 2 × 2 × 2 × 2 × 5 is highest common part in all three factorization.
Thus, 2 × 2 × 2 × 2 × 5 = 80 is HCF of given numbers.
Given numbers can be prime factorized as follows:
2400 = 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5
2800 = 2 × 2 × 2 × 2 × 5 × 5 × 7
3360 = 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7
It can be seen that 2 × 2 × 2 × 2 × 5 is highest common part in all three factorization.
Thus, 2 × 2 × 2 × 2 × 5 = 80 is HCF of given numbers.
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