The GCF of 72 and 102 is 6.
What is a HCF of 102?
So 102 can be written as: 102=2×3×17. Now, we need to find the factors which are common in both: the prime factorization of 34 and the prime factorization of 102. We see that 2×17 is common in both the prime factorizations. So, the HCF is 2×17=34.
What is a HCF of 27?
Example 1: Find the highest number that divides 27 and 36 exactly. Solution: The highest number that divides 27 and 36 exactly is their highest common factor, i.e. HCF of 27 and 36. Factors of 27 = 1, 3, 9, 27. Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36.
What is the HCF of 102 68136?
We can see that the only factor that is common to all of them is 17, so the greatest common factor of 68, 102, 136, and 153 is 17.
What is the sum of two numbers with HCF of 27?
Since HCF is 27, the two numbers can be written as 27*x and 27*y, Where x and y are co-prime (in order to make sure that the HCF is 27). Now, Sum of the numbers is 216. So, the following possibilities exist for x and y and the numbers (also we are not interested in order of x and y )
What is the HCF of 34 and 102?
(f) Given numbers are 34 and 102. Here, the common factors are 2 and 17. Thus, HCF is 2 x 17 = 34. (g) The given numbers are 70, 105 and 175. Here, common factors are 5 and 7. Hence, the HCF of 70, 105 and 175 is 5 x 7 = 35. (h) Given numbers are 91, 112 and 49.
How to write 216 and their HCF is 27?
Since HCF is 27, the two numbers can be written as 27*x and 27*y, Where x and y are co-prime (in order to make sure that the HCF is 27). Now, Sum of the numbers is 216.
What is the HCF for the number 91?
(h) Given numbers are 91, 112 and 49. Here, the common factor is 7. Hence, the HCF = 7. (i) Given numbers are 18, 54 and 81. Here, the common factor is 3 (occurring twice). Thus, the HCF = 3 x 3 = 9. (j) Given numbers are 12, 45 and 75. Here, the common factor is 3. Hence, the HCF = 3. Question 2. (a) numbers? (b) even numbers? (c) odd numbers?
