Hcf of 144 and a number which is between 300and 400 is 72 find the number.
Answers
Answer:
360
Step-by-step explanation:
P.S Read the steps given below =
Hcf of 144 and a number between 300 and 400 is 72, Find the number ?
Lets take the unknown number as = x
The Hcf is 72
So, the x or the unknown no. shall be divisible by 72.
Now, we have to find a multiple of 72, that comes between 300 and 400
We have 72 x 1 = 72
72 x 2 = 144
72 x 3 = 216
72 x 4 = 288
72 x 5 = 360
72 x 6 = 432
So, as we can see that the number which follows all of our rules is 72 x 5 = 360.
To recheck lets find it HCF again by long division method =
360 / 144
quotient = 2, remainder = 72
72/144
quotient = 2, remainder = 0
Therefore, now we can confirm that hfc of 144 and a no. that comes between 300 and 400 if 72. And x (unknown no.) = 360.
see attachment for your answer
I hope it helps you
