can someone tell me what:
A) The HCF of 315 is
B) The HCF of 1350 is
C) The LCM of 315 is.
D) The LCM of 1350 is.
oh and please can u ryt the letter next to the answer so i know which one u mean
thankyou in advance x:x :)
2007-10-13 11:27:51 · 3 answers · asked by x Animal Lover x 2 in Science & Mathematics ➔ Mathematics
HCF and LCMs are based in 2 or more numbers, so it doesn't make any sense to ask for a HCF or LCM of a single number.
Repeating my last answer:
Let's decompose in prime factors first:
1350/2 ............................. 315/3
675/3 ................................. 105/3
225/3 ................................. 35/5
75/3 ................................. 7/7
25/5 ................................. 1
5/5
1
1350 = 2* 3^3 * 5^2 .......... 315= 3^2 * 5 * 7
LCM: common & not common with highest power:
LCM = 2 * 3^3 * 5^2 * 7
LCM = 9450
HCF: commons only with lowest power
HCF = 3^2 * 5
HCF = 45
I can guarantee you this is right by the Euler algorithm:
HCF = A*B / LCM (A,B)
so, if the LCM is 9450, then the HCF is:
HCF = 1350 * 315 / 9450
HCF = 45
Check!!
2007-10-13 11:35:25 · answer #1 · answered by artie 4 · 0⤊ 0⤋
You need at least two numbers to have a HCF or a LCM.
For what it's worth the HCF of 315 and 1350 is 45, and the LCM is 9450
2007-10-13 11:37:39 · answer #2 · answered by Expat Mike 7 · 0⤊ 0⤋
315 = 3^2*5*7
1350 =2* 3^3* 5^2
So HCF = 5*3^2 = 45
LCM = 315* 2*3*5 = 9450
9450 = 30*315
9450 = 7 * 1350
2007-10-13 11:46:12 · answer #3 · answered by ironduke8159 7 · 0⤊ 0⤋