Hi!
Here is an easy method to find the HCF of absolutely any pair of numbers.
Step 1
Find the difference between the numbers.
x - y = z
Step 2
Ask this question, 'Is z a factor of x and y?'
Another way to ask this question is, 'Are x and y in z's timetable?'
If the answer is 'YES', then z is the HCF/ GCF.
It's as simple as that.
All you have to do is substitute the letters with the numbers that you were given in the question.
Let's take 9 & 12 as examples.
12 - 9 = 3
Is 3 a factor of 12 and 9? Yes
Are 12 and 9 in 3's timetable? Yes (3 x 3 = 9, 3 x 4 = 12)
HCF/ GCF = 3
According to your question, the numbers are 180 and 210.
210 - 180 = 30
Is 30 a factor of 210 and 180? Yes
Are 210 and 180 in 30's timetable? Yes (30 x 60 = 180, 30 x 70 = 210)
HCF/GCF = 30
DISCLAIMER: This only works on two numbers.
You can ask one question. It isn't necessary to ask both questions.
It is 35
No. The prime factors of 140 are 2,2,5 and 7 The prime factors of 210 are 2,3,5 and 7 The common prime factors are 2,5 and 7 Thus the HCF is 2x5x7, or 70.
Oh, dude, the "HCF" stands for the Highest Common Factor, which is like the biggest number that can divide both 135 and 180 without leaving a remainder. So, if we break it down, the prime factors of 135 are 3 x 3 x 3 x 5, and the prime factors of 180 are 2 x 2 x 3 x 3 x 5. The HCF is the product of the common prime factors with the lowest powers, which in this case is 3 x 3 x 5, which equals 45.
3.
The HCF of 30 and 105 is 15.
The GCF is 30.
HCF = 14
HCF(96, 180) = 12
The GCF is 180.
The GCF is 42.
It is 35
It is: 30
21
It is closer to 180. It is 11 from 180 and 19 from 210.
The highest common factor (HCF) of 245 and 210 is 35. To find the HCF, you need to identify the common factors of both numbers and then determine the highest one they share. In this case, the factors of 245 are 1, 5, 7, 35, 49, 245, and the factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210. The highest common factor of 245 and 210 is 35 because it is the largest number that divides both 245 and 210 without leaving a remainder.
HCF is 60 and the LCM is 360
The highest common factor (HCF) of 210 and 308 is the largest positive integer that divides both 210 and 308 without leaving a remainder. To find the HCF, you can use the Euclidean algorithm or prime factorization method. By prime factorizing 210 (2 x 3 x 5 x 7) and 308 (2 x 2 x 7 x 11), you can identify the common prime factors, which are 2 and 7. Therefore, the HCF of 210 and 308 is 14.