There are 171 litres and 189 litres oil in two drums respectively. What is the greatest measure of the tin, which can measure the oil of each drum exactly (that is, in whole number of tins)?
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The greatest measure of the tin, which can measure the oil of each drum exactly = 9.
- The greatest number that divides each of the two or more numbers is known as the HCF, or highest common factor. The Greatest Common Measure (GCM) and Greatest Common Divisor are further names for HCF (GCD).
- Highest Common Factor is the acronym for this term. The highest factor that may divide two integers evenly is known as the HCF of two numbers. HCF can be assessed using two or more numbers. It is the most powerful divisor for any pair of integers that can divide the inputted numbers equally or fully.
According to the given information, it is given that, there are 171 litres and 189 litres oil in two drums respectively.
To find the greatest measure of the tin, which can measure the oil of each drum exactly, we have to find the hcf of 171 and 189.
Now, the factors of 171 are 1, 3, 9, 19, 57, 171.
Also, the factors of 189 are 1, 3, 7, 9, 21, 27, 63, 189.
Then, the greatest common factor or hcf is equal to 9.
Hence, the greatest measure of the tin, which can measure the oil of each drum exactly = 9.
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