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a=2x3^4x5 b=2^3x3^2x5^5 write down the night common factor of A and B PLEASE HELP ASAP PLEASEE!

A2x34x5 B23x32x55 Write Down The Night Common Factor Of A And B PLEASE HELP ASAP PLEASEE class=

Sagot :

LanceLongFei

Answer:

The HCF of [tex]a=2^1 \cdot 3^4 \cdot 5^1[/tex] and [tex]b = 2^3 \cdot 3^2 \cdot 5^2[/tex] is [tex]90[/tex].

Step-by-step explanation:

To calculate the HCF of two numbers given their prime factorization, we take the lowest exponent of every prime when comparing the two numbers.

So the HCF of [tex]a=2^1 \cdot 3^4 \cdot 5^1[/tex] and [tex]b = 2^3 \cdot 3^2 \cdot 5^2[/tex] is [tex]2^1 \cdot 3^2 \cdot 5^1 = 90[/tex].

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