1. The length, breadth and height of a room are 14m, 16m, 18m respectively. Determine the length of the longest stick that can measure all the dimensions of the room in exact number of times
Answers
Answer:
HCF of 14,16,18
14=2×2×7
16=2×2 ×2 ×2
18=2×3×3
Therefore hcf =2
Hopes it helps u
Answer:
There it is told about the length, Breadth and height of the room
According to question; L=14m B=16m H=18m
We will find HCF here:-
First of all:
What is HCF and LCM?
- HCF:-The Highest Common Factor (HCF) of two numbers is the highest possible number which divides both the numbers exactly. HCF of a and b is denoted by HCF (a, b). Let d be the HCF (a, b), then you can't find the common factor of a and b greater than the number d. The highest common factor (HCF) is also called the greatest common divisor (GCD)
There is more than one method to find the HCF of two numbers. One of the quickest ways to find the HCF of two numbers is to use the prime factorization of each number and then the product of the least powers of the common prime factors will be the HCF of those numbers. Explore the world of HCF by going through its various aspects and properties. Find answers to questions like what is the highest common factor for a group of numbers, easy ways to calculate HCF, its relation with LCM, and discover more interesting facts around them.
Now at the point; We will be getting the solution of the question:
For 14, 16, and 18 those factors look like this:
Factors for 14: 1, 2, 7, and 14
Factors for 16: 1, 2, 4, 8, and 16
Factors for 18: 1, 2, 3, 6, 9, and 18
As you can see when you list out the factors of each number, 2 is the greatest number that 14, 16, and 18 divides into.
ANSWER= 2m
Explanation:
For 14, 16, and 18 those factors look like this:
Factors for 14: 1, 2, 7, and 14
Factors for 16: 1, 2, 4, 8, and 16
Factors for 18: 1, 2, 3, 6, 9, and 18
As you can see when you list out the factors of each number, 2 is the greatest number that 14, 16, and 18 divides into.