## Study notes on HCF and LCM for DSSSB Exam

Here we are providing you Study notes on HCF and LCM which will be helpful for Upcoming CTET and DSSSB Exams

### Important Formula for HCF & LCM:

1.  The product of two numbers = HCF *  LCM.
2.  HCF of given numbers always divides LCM.
3.  HCF = $\frac { product\quad of\quad two\quad numbers }{ LCM }$
4.  LCM = $\frac { product\quad of\quad two\quad numbers }{ HCF }$
5. If d is the h.c.f. of two positive integer a and b, then there exist unique integer m and n, such that d=am+bn.
6. Largest number which divides x,y,z to leave same remainder = HCF of y-x, z-y, z-x.
7. Largest number which divides x,y,z to leave remainder R (i.e. same) = HCF of x-R, y-R, z-R.
8. Largest number which divides x,y,z to leave same remainder a,b,c  = HCF of x-a, y-b, z-c.
9. Least number which when divided by x,y,z and leaves a remainder R in each case = ( LCM of x,y,z) + R.
10. HCF & LCM of fractions
11. HCF of fraction = $\frac { HCF of Numerators }{ LCM of Denominators }$
LCM of fraction =LCM of NumeratorsHCF of Denominators

## Quant Quiz on HCF and LCM for DSSSB Exam

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