Two tankers contains 620 liters and 840 liters of diesel respectively....
**Problem:**
Two tankers contain 620 liters and 840 liters of diesel respectively. Find the maximum capacity of a container that can measure the diesel of both the tankers in an exact number of times.
**Solution:**
To find the maximum capacity of a container that can measure the diesel of both the tankers in an exact number of times, we need to find the common factors of the two given numbers.
The factors of 620 are 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, and 620.
The factors of 840 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 120, 140, 168, 210, 280, 420, and 840.
The common factors of 620 and 840 are 1, 2, 4, 5, 10, 20, and 40.
Therefore, the maximum capacity of a container that can measure the diesel of both the tankers in an exact number of times is 40 liters.
Explanation:
- Two tankers contain 620 liters and 840 liters of diesel respectively.
- To find the maximum capacity of a container that can measure the diesel of both the tankers in an exact number of times, we need to find the common factors of the two given numbers.
- The factors of 620 and 840 are found out.
- The common factors of 620 and 840 are determined.
- The maximum capacity of a container that can measure the diesel of both the tankers in an exact number of times is 40 liters.