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Renu purchases two bags of fertilizer of weights 75 kg and 69 kg. Find the maximum value of weight which can measure the weight of the fertilizer an exact number of times.
By BYJU'S Exam Prep
Updated on: September 25th, 2023
Renu purchases two bags of fertilizer of weights 75 kg and 69 kg. The maximum value of weight that can measure the weight of the fertilizer an exact number of times is 3 kg.
- The second fertilizer bag weight = 69 kg
- First fertilizer bag weight = 75 kg
The highest weight that can determine the precise number of times the fertilizer has been used is the H.C.F. of 75 and 69. The HCF is the biggest common divisor or gcd of positive integers, as the Maths laws prescribe, and appears to be the largest positive integer that divides the numbers without any remainder. To get the maximum weight, we must determine the H.C.F. of 75 and 69.
- Factors of 75 = 3 x 5 x 5
- Factors of 69 = 3 x 23
- H.C.F of 69 and 75 is 3
Highest Common Factor (HCF)
The 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.
How to Calculate HCF?
There are two ways we can determine the HCF of any given set of numbers:
- by prime factorization method
- by division method
Hence, the maximum weight value is 3 kg, which can calculate the same number of times the weight of the fertilizer.
Summary:
Renu purchases two bags of fertilizer of weights 75 kg and 69 kg. Find the maximum value of weight which can measure the weight of the fertilizer an exact number of times.
Renu buys two fertilizer bags, each weighing 75 kg and 69 kg. The highest amount of weight that can accurately count the times the weight of the fertilizer is measured is 3 kg.
