GCF (HCF) of 9 and 27
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What is the Greatest Common Divisor of 9 and 27?
Answer
GCF (HCF) of 9 and 27 is
9
Common factors: 1, 3, 9
9 divides 27 (27 ÷ 9 = 3), so the GCF is the smaller number itself.
9 = 32
27 = 33
| Prime | 9 | 27 | Lowest power |
|---|---|---|---|
| 3 | 32 | 33 | 32 |
GCF = 32 = 9
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See Also
- Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
- Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
- Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers
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FAQ
What is the Greatest Common Divisor of 9 and 27?
GCF (HCF) of 9 and 27 is 9
How to find the GCF of 9 and 27?
You can find the GCF of 9 and 27 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 9 and 27 is 9.
What prime factors do 9 and 27 share?
The prime factorizations of 9 and 27 have 3 × 3 in common, and multiplying those shared primes gives 9 — exactly the greatest common factor.
How does the GCF reduce the fraction 9/27?
Divide the numerator and the denominator by the GCF 9: 9 ÷ 9 = 1 and 27 ÷ 9 = 3. So 9/27 in lowest terms is 1/3.
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