Which of the following pairs of numbers has an HCF of 10?
Practice Questions
1 question
Q1
Which of the following pairs of numbers has an HCF of 10?
20 and 30
25 and 35
40 and 50
15 and 25
The HCF of 40 and 50 is 10, as it is the largest number that divides both.
Questions & Step-by-step Solutions
1 item
Q
Q: Which of the following pairs of numbers has an HCF of 10?
Solution: The HCF of 40 and 50 is 10, as it is the largest number that divides both.
Steps: 6
Step 1: Understand what HCF means. HCF stands for Highest Common Factor, which is the largest number that can divide two or more numbers without leaving a remainder.
Step 2: Identify the pairs of numbers you want to check. In this case, we are checking the pair 40 and 50.
Step 3: List the factors of each number. The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40. The factors of 50 are 1, 2, 5, 10, 25, 50.
Step 4: Find the common factors between the two lists. The common factors of 40 and 50 are 1, 2, 5, and 10.
Step 5: Identify the largest common factor. The largest number in the common factors list is 10.
Step 6: Conclude that the HCF of 40 and 50 is 10, as it is the largest number that divides both.
