Question

find the largest number which divides 303 455 and 757 leaving the remainder 3, 5 and 7 respectively​

Answer 1

Step-by-step explanation:

subtract the given no. by given remainder

303-3=300

455-5=450

757-7=750

now our new no. are 300,450,750

300=2×2×3×5×5

450=2×3×3×5×5

750=2×3×5×5×5

therefore,

HCF=2×3×5×5

=150

Answer 2

subract the given remainders from the given numbers:

303-3 = 300

455-5 = 450

757-7 = 750

now, L.C.M of these numebers

300 = 2×2×3×5×5

450 = 2×3×3×5×5

750 = 2×3×5×5×5

therefore, HCF = 2×3×5×5 = 150

hope it helps u!!!