2007-06-04 16:44:22 · 10 answers · asked by V 3 in Science & Mathematics ➔ Mathematics
No, it's 12.
24 = 2*2*2*3
60 = 2*2*5*3
HCF = 2*2*3 = 12
To find HCF of two composite numbers, first write the composite numbers as products of primes as above.
Then, theoretically, you must take the lowest powers of each common factor and multiply to get HCF. It'll become clear with an example.
Suppose we must find HCF of 24 and 36
24 = 2*2*2*3
36 = 2*2*3*3
In the prime factorisations, we notice that 2 and 3 are the only factors. Now, rewrite the prime factorisation of both, expressing the factors in exponential form (since the theory said 'lowest POWER')
24 = (2^3) * 3
36 = (2^2) * (3^2)
Now the lowest exponent of 2 is 2. Write 2^2 aside
2^2 = 4 ..... (1)
The lowest power of 3 is 1. Write that:
3^1 = 3 ..... (2)
Multiply (1) and (2) to get HCF
4 * 2 = 12
2007-06-04 16:47:36 · answer #1 · answered by Akilesh - Internet Undertaker 7 · 0⤊ 0⤋
12
2007-06-04 16:51:43 · answer #2 · answered by MathGuy 6 · 0⤊ 0⤋
No.
24=2^3*3
60=2^2*3*5
GCF=2^2*3=12
24=2*12
60=5*12
2007-06-04 16:50:40 · answer #3 · answered by yupchagee 7 · 0⤊ 0⤋
12 will divide into 24 and 60.
GCF = 12
2007-06-04 23:07:58 · answer #4 · answered by Como 7 · 0⤊ 0⤋
No it's 12.
2007-06-04 16:51:34 · answer #5 · answered by Anonymous · 0⤊ 0⤋
no it is 12
2007-06-04 18:56:38 · answer #6 · answered by sam 3 · 0⤊ 0⤋
12 is the GCF of 24 and 60
Do you have a scientific calculator, if hit the math button, go over to NUM, scroll down to GCD and punch in both numbers.
Example: (24,60) hit enter.
2007-06-04 16:55:36 · answer #7 · answered by amy r 1 · 0⤊ 0⤋
12 x 2 = 24
12 x 5 = 60
12 is greater than 3
2007-06-04 16:47:46 · answer #8 · answered by mikedotcom 5 · 0⤊ 0⤋
yes, the factors of the numbers are as follows...
24=3x2x2x2
60=5x3x2x2
2007-06-04 16:49:46 · answer #9 · answered by Anonymous · 0⤊ 0⤋
Yeah, looks good...
2016-04-01 02:45:15 · answer #10 · answered by Anonymous · 0⤊ 0⤋