## Study notes on HCF and LCM for DSSSB Exam

Dear Readers,

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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