Solved Example on HCF of 26 and 91
Below are some of the solved examples on HCF of 26 and 91
Example 1: If the product of two numbers = 2366 and HCF = 13, find the LCM?
Solution:
We know, LCM × HCF = product of numbers
LCM = Product/HCF = 2366/13
Therefore, the LCM is 182.
Example 2: Find the highest number that divides 26 and 91 exactly.
Solution:
The highest number that divides 26 and 91 exactly is their HCF.
26 = 2 × 13
91 = 7 × 13
HCF (26, 91) = 13
Example 3: For two numbers, HCF = 10 and LCM = 92. If one number is 92, find the other number.
Solution:
HCF × LCM = 92 × x
⇒ x = (HCF × LCM)/92
⇒ x = (10 × 92)/92
⇒ x = 10
HCF of 26 and 91
HCF of 26 and 91 is 13. HCF or Highest Common Factor is the greatest number that divides two or more numbers. HCF is also known as Greatest Common Measure (GCM) or Greatest Common Divisor (GCD). Hence, we can say that GCF or GCD of 26 and 91 is 13.
In this article, we will learn how to HCF of 26 and 91 through Prime Factorization, listing factor, and long division method.
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