Question

two palm oil cans have 45 and 130 litres of palm oil. find a can of maximum capacity which can exactly measure the palm oil in two cans.​

Answer 1

Given:

✰ Two palm oil cans have 45 and 130 litres of palm oil.

To find:

✠ A can of maximum capacity which can exactly measure the palm oil in two cans.

Solution:

Let's understand the concept first!

Here in this question we need to find HCF ( highest common factor). HCF is nothing but the highest or greatest factor that divides the given number, and that is equal to a can of maximum capacity which can exactly measure the palm oil in two cans.

Let's find it...

• First find factors of 45 and 130 respectively by using prime factorization method.
• HCF of the highest common factor multiply the common factors which are present in both the numbers.

By using prime factorization method,

➛ Factors of 45 => 3, 3, 5

➛ Factors of 130 => 2, 5, 13

➤ Highest common factor = 5

➤ A can of maximum capacity = 5 litres

∴ A can of 5 litres capacity can exactly measure the palm oil in two cans.

____________________________

Answer 2

Answer:

• Maximum capacity of the can is 5 litres.

Step-by-step explanation:

Given that:

• Two palm oil cans have 45 and 130 litres of palm oil.

To Find:

• A can of maximum capacity which can exactly measure the palm oil in two cans.

Concept:

• We have to find the HCF of 45 and 130 after that we will get the maximum capacity which can exactly measure the palm oil in two cans.

Finding the HCF of 45 and 130:

Using prime factorisation.

• Factors of 45 = 3² × 5
• Factors of 130 = 2 × 5 × 13
• Highest common factor = 5

∴ HCF (45, 130) = 5

Hence,

• A can of 5 litres capacity can exactly measure the palm oil in two cans.