Find The greatest number which divides 77 112 and 287 and leaves the same remainder in each case ✅ Chi Tiết
Mẹo về Find The greatest number which divides 77 112 and 287 and leaves the same remainder in each case 2022
Lê Minh Châu đang tìm kiếm từ khóa Find The greatest number which divides 77 112 and 287 and leaves the same remainder in each case được Cập Nhật vào lúc : 2022-10-03 06:30:29 . Với phương châm chia sẻ Kinh Nghiệm Hướng dẫn trong nội dung bài viết một cách Chi Tiết 2022. Nếu sau khi tham khảo nội dung bài viết vẫn ko hiểu thì hoàn toàn có thể lại phản hồi ở cuối bài để Ad lý giải và hướng dẫn lại nha.In order to find the greatest number which divides 285 and 1249 leaving remainders 9 and 7
We get
285 – 9 = 276
1249 – 7 = 1242
So the required number = HCF of 276 and 1242
By resolving the required number into prime factors
we get
276 = 2 × 2 × 3 × 23
1242 = 2 × 3 × 3 × 3 × 23
So the HCF of 276 and 1242 = 2 × 3 × 23 = 138
Therefore, the greatest number which divides 285 and 1249 leaving remainders 9 and 7 is 138.
The greatest number which divides $$77, ,147$$ and $$252$$ leaving the same remainder $$7$$ in each case is
A
$$9$$B
$$15$$C
$$25$$D
$$35$$$$Rightarrow$$ Look the common differences:
$$Rightarrow$$ $$147 - 77 = 70$$
$$Rightarrow$$ $$252 - 147 = 105$$
$$Rightarrow$$ Now, we have to find H.C.F of $$70$$ and $$105$$
$$Rightarrow$$ $$70=2times 5times 7$$
$$Rightarrow$$ $$105=3times 5times 7$$
$$Rightarrow$$ Common factor $$=7times 5=35$$
$$therefore$$ The greatest number which divides $$77,147$$ and $$252$$ leaving the same remainder in each case is $$35$$.
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Updated On: 27-06-2022
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