sabitasapkotaniroula
Answered

Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Ask your questions and receive detailed answers from professionals with extensive experience in various fields. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

There are 125 and 165 stools in a store. Find the H.C.F. of 125 and 165 by division method.

Sagot :

GinnyAnswer
To find the Highest Common Factor (HCF) of 125 and 165 using the division method, follow these steps:

1. Divide the larger number by the smaller number:
- Here, the larger number is 165, and the smaller number is 125.
- Divide 165 by 125:
[tex]\( 165 \div 125 = 1 \)[/tex] with a remainder of [tex]\( 165 - (125 \times 1) = 40 \)[/tex].

2. Replace the larger number with the smaller number:
- Now, replace 165 with 125 and 125 with the remainder 40.
- So, the new pair of numbers are 125 and 40.

3. Repeat the division:
- Divide 125 by 40:
[tex]\( 125 \div 40 = 3 \)[/tex] with a remainder of [tex]\( 125 - (40 \times 3) = 5 \)[/tex].

4. Replace and divide again:
- Replace 125 with 40 and 40 with the remainder 5.
- So, the new pair of numbers are 40 and 5.

5. Continue the process:
- Divide 40 by 5:
[tex]\( 40 \div 5 = 8 \)[/tex] with a remainder of [tex]\( 40 - (5 \times 8) = 0 \)[/tex].

6. When the remainder is 0:
- The division process stops when the remainder is 0.
- The divisor at this stage is the HCF of the original pair of numbers.

Therefore, the HCF of 125 and 165 is 5.
We appreciate your time. Please come back anytime for the latest information and answers to your questions. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.