Question

find the largst number which divides 303,455 and 757 leaving the reminder 3,5 and 7

Answer 1

Hey there !

When the numbers are divided by a certain number , they leave remainders.
To find the largest number which divides them , we have to follow the following steps :-

1) Subtract the reminders from the given numbers.
303 - 3 = 300
455 - 5 = 450
757 - 7 = 750

2) The largest number which divides 303,455 and 757 leaving the reminder 3,5 and 7 = HCF of 300 , 450 and 750

3) Finding the HCF of 300 , 450 and 750
300 = 2 x 2 x 3 x 5 x 2
450 = 2 x 3 x 3 x 5 x 5
750 = 2 x 3 x 5 x 5 x 5

4) HCF = 2 x 5 x 5 = 50


Hence ,
50 is the largest number which divides 303,455 and 757 leaving the reminder 3,5 and 7

Answer 2

Answer:

Step-by-step explanation:

Sudtract the remainders from given numbers:

303 - 3 = 300

455 - 5 = 450

757 - 7 = 750

Now, finding the HCF of those numbers which is sudtracted

300 = 2×2×3×5×5

450 = 2×3×3×5×5

750 = 2×3×5×5×5

HCF=2×3×5×5

=6×25

=150

Therefore The largest number which divides,303,455 and 757 is (150)