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