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### Grade 8 - Mathematics5.2 Greatest Common Factor - (Word Problems) - I

 Example: Find the largest number which divides the numbers 400 and 852 and leaves the remainders 4 and 5 respectively. Solution: The largest number when divides 400 leaves remainder 4, the number divides 400 - 4 = 396 without leaving any remainder. The largest number when divides 852 leaves remainder 5, that divides 852-5 = 847 without leaving any remainder. The largest number is the G.C.D. of 396 and 847. Directions: Solve the following word problems. Also write at least five examples of your own.
 Q 1: Find the largest number which divides the numbers 430 and 679 and leaves the remainders 2 and 3 respectively.846 Q 2: Find the largest number which divides the numbers 57 and 75 and leaves the remainders 9 and 11 respectively.83216 Q 3: Find the largest number which divides the numbers 105 and 159 and leaves the remainders 9 and 15 respectively.481224 Q 4: Find the largest number which divides the numbers 160 and 203 and leaves the remainders 4 and 5 respectively.24612 Q 5: Find the largest number which divides the numbers 350 and 584 and leaves the remainders 2 and 3 respectively.648 Q 6: Find the largest number which divides the numbers 32 and 84 and leaves the remainders 8 and 12 respectively.24126 Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!