Review Find the greatest number which divides 2246 3981 and 5869 leaving remainders 2, 3 and 4 respectively

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What is the greatest number which when divides 460, 491 and 553, leave 26 as remainder in each case?Answer (Detailed Solution Below)Related Videos

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What is the greatest number which when divides 460, 491 and 553, leave 26 as remainder in each case?

31353327

Answer (Detailed Solution Below)

Option 1 : 31

Free

CT : GK (Ancient History)

10 Questions 10 Marks 6 Mins

460 – 26 = 434

491 – 26 = 465

553 – 26 = 527

Now, the factors of 434, 465 and 527,

⇒ 434 = 2 × 7 × 31

⇒ 465 = 3 × 5 × 31

⇒ 527 = 17 × 31

∴ HCF of 434, 465 and 527 is 31.

∴ 31 is the required number.

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Find the greatest number which...

Updated On: 27-06-2022

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Text Solution

Answer : Hence, the required number = 138 .

Answer

Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.

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