To find the highest common factor (HCF) of the numbers 391, 425, and 527 using the division method, we need to follow the steps below:
- Step 1: We will start by dividing the largest number (527) by the two smaller numbers (391 and 425) one by one.
- Step 2: First, divide 527 by 425:
527 ÷ 425 = 1 (remainder 102)
- Step 3: Now we will take the divisor (425) and the remainder (102) and divide:
425 ÷ 102 = 4 (remainder 17)
- Step 4: Next, we will divide the last divisor (102) by the latest remainder (17):
102 ÷ 17 = 6 (remainder 0)
- Step 5: We stop here because we have reached a remainder of 0. The last non-zero remainder is 17, which is the HCF of 391, 425, and 527.
Conclusion: The HCF of 391, 425, and 527 using the division method is 17.