renu purchases two bags of fertiliser of weights 75kg and 69kg . find the maximum value of weight which can measure the weight of the fertiliser exact number of times
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The Highest Common Factor (HCF) of 75kg and 69kg by weight will be the maximum value of weight which can measure the weight of the fertiliser exact number of times. To find HCF first we have to find prime factorisation of given numbers by weight i.e. 75 and 69
57551533136923231Prime Factor of 75 = 5 ×5 ×3Prime Factor of 69 = 3 ×23Highest Common Factors of 75 and 69 is 3∴ Hence 3kg is the maximum value of weight which can measure the weight of the fertiliser in both the bags weighing 75kg and 69kg respectively, exact number of times
57551533136923231Prime Factor of 75 = 5 ×5 ×3Prime Factor of 69 = 3 ×23Highest Common Factors of 75 and 69 is 3∴ Hence 3kg is the maximum value of weight which can measure the weight of the fertiliser in both the bags weighing 75kg and 69kg respectively, exact number of times
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