Practice30 Create account

Find the HCF of $2^{3} \times 3^{2} \times$ 5 and $2^{2} \times 3 \times 7$ .

Class 10Fundamental Theorem of ArithmeticNumber Systems

A $2^{2} \times 3$
B $2^{3} \times 3^{2}$
C $2^{2} \times 3 \times 5$
D $2 \times 3$

Step-by-Step Solution

HCF takes the lowest power of the common primes: 2 (min

2^{2}

) and 3 (min

3^{1}

), giving

2^{2} \times 3 = 12

.

Answer: A)

2^{2} \times 3

Master this chapter in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Fundamental Theorem of Arithmetic practice questions

More Class 10 Fundamental Theorem of Arithmetic practice

Riya has 144 red beads and 90 green beads. She wants to make identical garlands so that…Explain why 7 x 11 x 13 + 13 is a composite number. Find which prime divides it for sure.A shopkeeper in Pune has two ropes of length 84 m and 120 m. He wants to cut both into…Two tankers contain 850 litres and 680 litres of diesel. Find the maximum capacity of a…Check whether 6^n can end with the digit 0 for any natural number n. Choose the correct…