The largest number that divides 348 and 626 leaving remainder 3 and 5 respectively can be found by subtracting the respective remainders from the given numbers. So, 348 - 3 = 345 and 626 - 5 = 621. Then we have to find the highest common factor (HCF) of 345 and 621. The prime factorization of 345 is 3×5×23 and that of 621 is 3×3×3×23. The HCF is the product of the common prime factors, which is 3 × 23 = 6912. So, the largest number that divides 348 and 626 leaving remainder 3 and 5 respectively is 69.
Answers & Comments
Answer:
69
Step-by-step explanation:
The largest number that divides 348 and 626 leaving remainder 3 and 5 respectively can be found by subtracting the respective remainders from the given numbers. So, 348 - 3 = 345 and 626 - 5 = 621. Then we have to find the highest common factor (HCF) of 345 and 621. The prime factorization of 345 is 3×5×23 and that of 621 is 3×3×3×23. The HCF is the product of the common prime factors, which is 3 × 23 = 6912. So, the largest number that divides 348 and 626 leaving remainder 3 and 5 respectively is 69.
Verified answer
348 - 3 = 345
626 - 5 = 621
now find the HCF of 345 and 621 that is 69.
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