Question

given that LCM of 91 and 26 is equals to 182 find HCF of 91 and 26

Answer 1

Hey there,

Your answer.

-》Given, L.C.M of 91 and 26 = 182

-》So, The H.C.F of 91 and 26 = 13

✅Solution, shown in the figure.

:-) Hope it helps.......

Answer 2

The HCF is 13.

• Least Common Multiple is the meaning of the abbreviation LCM. The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers. It can also be computed using two or more numbers. Finding the LCM of a given collection of numbers can be done in a variety of ways.
• Utilizing the prime factorization of each number and then calculating the product of the greatest powers of the shared prime factors is one of the quickest techniques to determine the LCM of two numbers.

Here, according to the given information, we are given that,

The two numbers are 91 and 26.

Also, we are given that,

LCM of 91 and 26 is equal to 182.

Then, we know that product of the HCF and the LCM is equal to the product of the two numbers.

Then, LCM × HCF = $91.26$

Or, HCF = $\frac{91.26}{182} = 13.$

Hence, the HCF is 13.

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