the HCF of 450 and 1080 is expressible in the form 450 n- 1080×7, then find n
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Answer:
Find the prime factorization of 1080
1080 = 2 × 2 × 2 × 3 × 3 × 3 × 5
Find the prime factorization of 450
450 = 2 × 3 × 3 × 5 × 5
To find the GCF, multiply all the prime factors common to both numbers:
Therefore, GCF = 2 × 3 × 3 × 5
n = 90
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