TCS
Programming and Technical
Numerical Ability
LCM and HCF
find the greatest number that will divide 148 246 and 623 leaving remainders 4 6 and 11 respectively
Read Solution (Total 10)
-
- Hcf ( (148-4), (246-6), (623-11))=12
- 8 years agoHelpfull: Yes(9) No(5)
- 148-4=144
246-6=240
623-11=612
Hence these 3 are divided by 12 leaving remainders 4 6 and 11 - 8 years agoHelpfull: Yes(6) No(0)
- hcf of 144, 240,612 is 12. 12 is the answer
- 8 years agoHelpfull: Yes(2) No(1)
- difference of the dividend and remainder gives you the divisible number
so Hcf of ((148-4),(246-6),(623-11)
144=12*12
240=12*20
623=12*51
so the HCF is 12. - 8 years agoHelpfull: Yes(2) No(0)
- hcf of given numbers is 12
- 8 years agoHelpfull: Yes(0) No(0)
- a*4/100=8 , a=800/4, a=200
b*8/100 , b=400/8, b=50
c=50/200, c=1/4 - 7 years agoHelpfull: Yes(0) No(2)
- 148-4=144
246-6=240
623-11=612
Hence these 3 are divided by 12 leaving remainders 4 6 and 11 - 5 years agoHelpfull: Yes(0) No(0)
- Ans2
148-4=144
246-6=240
623-11=612
144-= 2*2*18
240= 2*2*3*20
612=2*2*
2 great no - 5 years agoHelpfull: Yes(0) No(0)
- We know that When a greatest number that divide x,y,z and leaves remainder a,b,c respectively = HCF of (x - a),(y - b),(z - c).
Now,
HCF of (148 - 4),(246 - 6),(623 - 11)
= > HCF of (144, 240,612)
Prime factorization of 144 = 2 * 2 * 2 * 2 * 3 * 3
Prime factorization of 240 = 2 * 2 * 2 * 2 * 3 * 5
Prime factorization of 612 = 2 * 2 * 3 * 3 * 17
HCF(144,240,612) = 2 * 3 * 3 = 12.
Hence, the greatest number is n = 12.
Now,
We have to find the remainder when n is divided by 7.
= > 7)12(1
7
---
5.
Therefore, the remainder is 5. - 5 years agoHelpfull: Yes(0) No(0)
- 148-4=144,246-6=240,623-11=612
HCF of 144,240,612 is 12. - 4 years agoHelpfull: Yes(0) No(0)
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