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only if they are equal

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Q: Can the LCM and the GCF of two numbers be equal?
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Continue Learning about Algebra

What two numbers have a GCF of 24 and LCM of 48?

24 and 48 have a GCF of 24 and an LCM of 48.


What two numbers have a GCF of 9 and LCM of 54?

To find two numbers with a greatest common factor (GCF) of 9 and a least common multiple (LCM) of 54, we can use the relationship between GCF, LCM, and the product of two numbers. The product of two numbers is equal to the product of their GCF and LCM. So, if GCF is 9 and LCM is 54, the product of the two numbers is 9 * 54 = 486. To find the two numbers, we need to find a pair of factors whose product is 486 and whose GCF is 9. The numbers that meet these criteria are 27 and 18.


How do you find LCM and HCF of fractions?

You don't. LCM and GCF (HCF) refer to whole numbers. You can find the LCM of two whole numbers that happen to be denominators, but in that case we call it the LCD. You can find the GCF of two whole numbers that happen to be the numerator and denominator of a fraction, and that will let you know whether the fraction can be simplified.You can use the GCF of the denominators to find their LCM (LCD). For example,1/18 + 1/24GCF = 6 because 18 = 6*3 and 24 = 6*4, thus LCD = 18*4 = 24*3 = 721/18 + 1/24 = (1*4)/(18*4) + (1*3)/(24*3) = 4/72 + 3/72 = 7/72.


How do you find sets of two numbers if HCF and LCM are known?

You cannot. The numbers 2 and 12 have hcf = 2 and LCM = 12 The numbers 4 and 6 also have hcf = 2 and LCM = 12 So if you just knew the hcf and LCM you would not know which of the two was the required pair.


The LCM of two consecutive numbers is greater then 200 and is a multiple of 7. What are the two numbers?

14 and 15