Question

Given that L.C.M. of (150, 100) = 300, find H.C.F. (150, 100).

Solution

L.C.M. (150, 100) = 300

⇒ L.C.M. of 150 and 100 = 300

And, the product of numbers 150 and 100 = 150 × 100

Now, H.C.F. (150, 100)
$equals fraction numerator Product space of space 150 space and space 100 over denominator straight L. straight C. straight M. space left parenthesis 150 comma space 100 right parenthesis end fraction equals fraction numerator 150 cross times 100 over denominator 300 end fraction equals 50$

Some More Questions From Real Numbers Chapter

Use Euclid’s division lemma to show that the square of any positive integer is either of the form 3m or 3m + 1 for some integer m.

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Real Numbers

Given that L.C.M. of (150, 100) = 300, find H.C.F. (150, 100).

Some More Questions From Real Numbers Chapter

Use Euclid’s division lemma to show that the square of any positive integer is either of the form 3m or 3m + 1 for some integer m.

Use Euclid’s division lemma to show that the cube of any positive integer is of the form 9m, 9m + 1 or 9m + 8.

Express each number as a product of its prime factors: (i) 140

Express each number as a product of its prime factors: (ii) 156

Express each number as a product of its prime factors: (ii) 156 (iii) 3825 (iv) 5005 (v) 7429

Express each number as a product of its prime factors: (iv) 5005

Express each number as a product of its prime factors: (v) 7429

Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = product of the two numbers. (i) 26 and 91

Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = product of the two numbers. (ii) 510 and 92

Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = product of the two numbers. (iii) 336 and 54

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