Question

for some A and B if HCF of 55 and 210 is 12 + 55 B then find the value of a and b

Answer 1

• HCF of 210 and 55

255= 55×3+45 equa 1

55=45×1+10 equa 2

45=10×4+5 equa 3

10=5×2+0.

• From prime factorization:

HCF of 210 and 55 =5  

• Putting value from equa 2 and 3

45-(55-45)*4 =5  

45-55*4+45*4=5

(210-55*3)5-55*4=5  

210*5-55*15-55*4=5

5=210*5*55*19=210A+55B

From the above equation we get

• A=5

• B= -19