Question

3. Find the highest number which divides 80 and 60 exactly,​

Answer 1

The highest number is 20 which can divide 60 and 80 exactly.

Step-by-step explanation:

• We are given two numbers as 80 and 60.

• We are asked to find out the highest integer number which can divide both the given numbers exactly.

• In other words, we are asked to find out the highest common factor of both given numbers as 80 and 60.

• Highest common factor, is the highest number which can divide the numbers exactly.

• Therefore, we find out the highest common factor of 80 and 60.

• $80 = 2 \times 2 \times 2 \times 2 \times 5$

• $60 = 2 \times 2 \times 3 \times 5$

Therefore; The HCF of 80 and 60 is $2 \times 2 \times 5$ = 20  

Thus, the highest number is 20 which can divide 60 and 80 exactly.