Advertisements
Advertisements
प्रश्न
If a and b are relatively prime numbers, then what is their HCF?
उत्तर
It is given that a and b are two relatively prime numbers; we have to find their HCF.
We know that two numbers are relatively prime if they don’t have any common divisor.
Also, the factors of any prime number are 1 and the prime number itself.
For example, let a = 7 and b = 20
Thus, the factors are as follows
a = 7 × 1
And
b = 22 × 5 × 1
Now, the HCF of 7 and 20 is 1.
Thus the HCF of a and b is 1 .
APPEARS IN
संबंधित प्रश्न
Find the largest number which divides 615 and 963 leaving remainder 6 in each case.
Find the greatest number which divides 285 and 1249 leaving remainders 9 and 7 respectively.
Find the greatest number that will divide 445, 572 and 699 leaving remainders 4, 5 and 6 respectively.
A mason has to fit a bathroom with square marble tiles of the largest possible size. The size of the bathroom is 10 ft. by 8 ft. What would be the size in inches of the tile required that has to be cut and how many such tiles are required?
Two brands of chocolates are available in packs of 24 and 15 respectively. If I need to buy an equal number of chocolates of both kinds, what is the least number of boxes of each kind I would need to buy?
The HCF of two numbers is 23 and their LCM is 1449. If one of the numbers is 161, find the other.
The product of two numbers is 1050 and their HCF is 25. Find their LCM.
π is an irrational number (True/False).
Prove that two consecutive positive integers are always co-prime
Prove that one and only one out of n, n + 2 and n + 4 is divisible by 3, where n is any positive integer.