Calculating HCF of 28 and 49
First, find the Highest Common Factor (HCF) of 28 and 49.
- Prime factorization of 28: $2 \times 2 \times 7 = 2^2 \times 7^1$
- Prime factorization of 49: $7 \times 7 = 7^2$
- The common factor is 7.
Therefore, the HCF(28, 49) = 7.
Calculating LCM of 28 and 49
Next, find the Least Common Multiple (LCM) of 28 and 49.
- Using the prime factorizations: $2^2$ and $7^2$.
- LCM is the product of the highest powers of all prime factors involved.
- LCM(28, 49) = $2^2 \times 7^2$
- LCM(28, 49) = $4 \times 49$
Therefore, the LCM(28, 49) = 196.
Finding the Sum of HCF and LCM
Finally, calculate the sum of the HCF and LCM.
- Sum = HCF + LCM
- Sum = 7 + 196
- Sum = 203
The sum of the HCF and LCM of 28 and 49 is 203.
Similar Questions
- The H.C.F. and the L.C.M. of two numbers are 5 and 495, respectively. If one of the numbers is 55, find the other one.
- The HCF of two numbers is 16 and their LCM is 240. If one number is 48, find the other number.
- The sum of two numbers is 132 and their L.C.M. is 630. What are the two numbers?
- The LCM of the numbers 12.8 and 0.004 is:
- Find the least number which is divisible by first ten natural numbers.
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Important Questions from LCM and HCF
The greatest three-digit number which is divisible by 14, 28, and 42 is:
What is the greatest number that will divide 209 and 347 leaving remainder 5 and 7 respectively?
A number is three times another number and their HCF is 8. What is the sum of the squares of the numbers?
The HCF of 2091, 3485 and 4879 is x. The sum of the digits of x is:
If three numbers are in ratio of 3 : 5 : 7 and their LCM is 2415, what is the difference between the second number and the first number?
