GCF (HCF) of 90 and 270
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What is the Greatest Common Divisor of 90 and 270?
Answer
GCF (HCF) of 90 and 270 is
90
Common factors: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
90 divides 270 (270 ÷ 90 = 3), so the GCF is the smaller number itself.
90 = 2 × 32 × 5
270 = 2 × 33 × 5
| Prime | 90 | 270 | Lowest power |
|---|---|---|---|
| 2 | 2 | 2 | 2 |
| 3 | 32 | 33 | 32 |
| 5 | 5 | 5 | 5 |
GCF = 2 × 32 × 5 = 90
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- 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 90 and 270?
GCF (HCF) of 90 and 270 is 90
How to find the GCF of 90 and 270?
You can find the GCF of 90 and 270 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 90 and 270 is 90.
What prime factors do 90 and 270 share?
The prime factorizations of 90 and 270 have 2 × 3 × 3 × 5 in common, and multiplying those shared primes gives 90 — exactly the greatest common factor.
How does the GCF reduce the fraction 90/270?
Divide the numerator and the denominator by the GCF 90: 90 ÷ 90 = 1 and 270 ÷ 90 = 3. So 90/270 in lowest terms is 1/3.
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