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11 grade maths others

Find the HCF using division method 391, 425, 527

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9 Months agoGrade
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1 Answer

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ApprovedApproved Tutor Answer9 Months ago

To find the Highest Common Factor (HCF) of the numbers 391, 425, and 527 using the division method, follow these steps:

Step 1: Arrange the Numbers

Start by listing the numbers in descending order:

  • 527
  • 425
  • 391

Step 2: Perform Division

Divide the largest number by the next largest number and find the remainder:

  • 527 ÷ 425 = 1 (remainder 102)

Now, take the divisor (425) and divide it by the remainder (102):

  • 425 ÷ 102 = 4 (remainder 17)

Next, divide the previous divisor (102) by the new remainder (17):

  • 102 ÷ 17 = 6 (remainder 0)

Step 3: Identify the HCF

When the remainder reaches 0, the last non-zero remainder is the HCF. Here, the last non-zero remainder is 17.

Final Result

The Highest Common Factor (HCF) of 391, 425, and 527 is 17.