find largest number that will divide 399,440 and 550 leaving remainder 8,15,23 respectively
Answers
Step-by-step explanation:
Which is the largest number that will divide 399, 440 and 550 leaving remainders of 8, 15 and 23, respectively?
399–8 = 391
440-15 = 425
550–23 = 527.
Next find the factors of 391, 425 and 527.
391 = 17x23
425 = 5x5x17
527 = 17x31
The HCF is thus 17.
399/17 = 23 (Q) + 8 (R)
440/17 = 25 (Q) + 15 (R)
550/17 = 32 (Q) + 6 (R)
The question is wrong. Instead of 23 it should have been 6 as a remainder. [23/17 gives 1 (Q) and 6 (R)].
or
399 - 8 = 391
399 - 8 = 391440 - 15 = 425
399 - 8 = 391440 - 15 = 425550 - 23 = 527
399 - 8 = 391440 - 15 = 425550 - 23 = 527Now for finding the largest number which is exactly divisible by 391, 425 and 527
399 - 8 = 391440 - 15 = 425550 - 23 = 527Now for finding the largest number which is exactly divisible by 391, 425 and 527we need a factor so we would find the Highest Common Factor(HCF)
399 - 8 = 391440 - 15 = 425550 - 23 = 527Now for finding the largest number which is exactly divisible by 391, 425 and 527we need a factor so we would find the Highest Common Factor(HCF)391 = 17 * 23
399 - 8 = 391440 - 15 = 425550 - 23 = 527Now for finding the largest number which is exactly divisible by 391, 425 and 527we need a factor so we would find the Highest Common Factor(HCF)391 = 17 * 23425 = 5 * 5 * 17
399 - 8 = 391440 - 15 = 425550 - 23 = 527Now for finding the largest number which is exactly divisible by 391, 425 and 527we need a factor so we would find the Highest Common Factor(HCF)391 = 17 * 23425 = 5 * 5 * 17527 = 17 * 31
399 - 8 = 391440 - 15 = 425550 - 23 = 527Now for finding the largest number which is exactly divisible by 391, 425 and 527we need a factor so we would find the Highest Common Factor(HCF)391 = 17 * 23425 = 5 * 5 * 17527 = 17 * 31so the highest common factor is 17
399 - 8 = 391440 - 15 = 425550 - 23 = 527Now for finding the largest number which is exactly divisible by 391, 425 and 527we need a factor so we would find the Highest Common Factor(HCF)391 = 17 * 23425 = 5 * 5 * 17527 = 17 * 31so the highest common factor is 1717 is the largest number.
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