Advertisements
Advertisements
प्रश्न
Define HOE of two positive integers and find the HCF of the following pair of numbers:
105 and 120
उत्तर
By applying Euclid’s division lemma
120 = 105 × 1 + 15
Since remainder ≠ 0, applying division lemma on divisor 105 and remainder 15.
105 = 15 × 7 + 0
∴ HCF of 105 and 120 = 15
APPEARS IN
संबंधित प्रश्न
Using Euclid's division algorithm, find the H.C.F. of (iii) 867 and 255
Show that every positive integer is of the form 2q and that every positive odd integer is of the from 2q + 1, where q is some integer.
For any positive integer n , prove that n3 − n divisible by 6.
Define HOE of two positive integers and find the HCF of the following pair of numbers:
56 and 88
Find the HCF of the following pairs of integers and express it as a linear combination of 963 and 657.
Three pieces of timber 42m, 49m and 63m long have to be divided into planks of the same length. What is the greatest possible length of each plank? How many planks are formed?
Find the least number that is divisible by all the numbers between 1 and 10 (both inclusive).
Show that \[5 - 2\sqrt{3}\] is an irrational number.
If p, q are prime positive integers, prove that \[\sqrt{p} + \sqrt{q}\] is an irrational number.
For any positive integer n, prove that n3 – n is divisible by 6.
