Class 10 Highest Common Factors Solutions:
Factors are the numbers which when multiplied result a particular number. For example: the factors are 6 are ±1, ±2, ±3, and ±6.
When we take the factors for two or more numbers then, the highest number that is common in between the factors of both the numbers, tends to be our Highest Common Factor (HCF).
To be noted: +1 and -1, both are common factors of every number. However, in HCF, we only take the positive integers.
Class 10 HCF Questions and Solutions. You can see the solutions by
click on "Find the HCF" written before every question.
- Find the HCF: 9x²-3y²-8yz-4z² 4z²-4y²-9x²-12xy and 9x²+12xz+4z²-4y²
- Find the HCF: x³-1, x⁴+x²+1, x³+1+2x²+2x
- Find the HCF: m³-m²-m+1, 2m³-2m, 3m²+3m-6
- Find the HCF: x²-9, x³-27 and x²+x-12
- Find the HCF: 16x⁴-4x²-4x-1 and 8x³-1
- Find the HCF: x⁴+4y⁴ and 2x³y+2xy³+4x²y²
- Find the HCF: x³-8y³ and x²+2xy+4y²
- Find the HCF: (4x³+8x²) and (5x³-20x)
- Find the HCF: (x²-y²) and (x²+2xy+y²)
- Find the HCF: of (a²-2a) and (a⁴-8a)
- Find the HCF: $a^4 + a^2b^2 + b^4, a^3+b^3, a^3 -a^2b+ab^2$
Highest Common Factor is the common factor written by analyzing only the
factors of all the given expressions that are common among each
other.
You can also view these solutions provided in our blog:
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