Find the greatest capacity of a measuring jar that can exactly measure 165 liters, 175 liters, and 200 liters?
- 2 liters
- 7 liters
- 5 liters
- 2 liters
Explanation
To find the greatest capacity of a measuring jar that can exactly measure 165, 175, and 200 liters, we need to find the greatest common divisor (GCD) or highest common factor (HCF) of these numbers.
Let's find the prime factors:
165 = 3 * 5 * 11
175 = 5 * 5 * 7
200 = 2 * 2 * 2 * 5 * 5
The common factor among these is 5.
The greatest capacity of the measuring jar is: 5 liters
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