Question

Find the HCF of the following terms
Please give steps on how you found also
Thanks

Answer 1

Answer:

HCF is the greatest common divisor of set of numbers, In simple words you can say, that highest number which will divide the given set of numbers.

Always remember HCF is small than the given set of numbers, Let's head to the Question now.

» How to find HCF?

• HCF by listing out the common factors
• HCF by prime factorization
• HCF by division method

We are going to use listing out the common factors

g) 56a²b and 64ab²

⇢ 56a²b = 2³ × 7 × a² × b

⇢ 64ab² = 2⁴ × 2⁴ × a × b²

HCF = 2³ × a × b = 8ab

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h) 2abc , 4a²bc and 8ab²

⇢ 2abc = 2 × a × b × c

⇢ 4a²bc = 2² × a² × b × c

⇢ 8ab² = 2³ × a × b²

HCF = 2 × a × b = 2ab

⠀⠀⠀⠀⠀───────────────

i) 3a²b³c³ , 9a³b³c³ and 18a²b²c²

⇢ 3a²b³c³ = 3 × a² × b³ × c³

⇢ 9a³b³c³ = 3² × a³ × b³ × c³

⇢ 18a²b²c² = 2 × 3² × a² × b² × c²

HCF = 3 × a² × b² × c² = 3a²b²c²

⠀⠀⠀⠀⠀───────────────

j) 6abc , 7ab³c and 8abc³

⇢ 6abc = 2 × 3 × a × b × c

⇢ 7ab³c = 7 × a × b³ × c

⇢ 8abc³ = 2³ × a × b × c³

HCF = a × b × c = abc