Question

find the greatest number which when divides 286 and 1250 leaving remainder 10,and 8 respectively

Answer 1

$\huge \bf{ \red{ANSWER}}$

$\bf{2}$

$\bf{QUESTION}$
find the greatest number which when divides 286 and 1250 leaving remainder 10,and 8 respectively.

$\bf{step \: by \: step \: explanation}$

In this type of question ,first we subtract the remainder from the given number and then we find the HCF of number obtained and the HCF is the answer of that question.

So let's do this,


Given numbers are

=> 286 and 1250.

and their remainders

=> 10 and 8 respectively.

so,

=> 286-10


= 276

and


=> 1250-8

=> 1242

so

Now find HCF




276)1242( 4
.. 1104
__________
...... 138)176(1
............. 138
____________
.. ............ 38)138(2
..................... 114
______________
...................... 24)38(1
.......... ................. 24
________________
............................. 14)24(1
............................... .. 14
___________________
.... ......................... .... 10)14(1
.. .... ......................... ..... 10
_____________________
.... ......................... ......... 4)10(2
.... ......................... ............ 8
______________________
.... ......................... ............ 2)4(2
.... ......................... ................ 4
_______________________
.... ......................... ............ ... 0


hence

HCF=2.

$\bf{thanks}$

Answer 2

> 286 and 1250.

and their remainders
10 and 8 respectively.



=> 286-10


= 276

and


=> 1250-8

=> 1242

so

Now find HCF




276)1242( 4
.. 1104
__________
...... 138)176(1
............. 138
____________
.. ............ 38)138(2
..................... 114
______________
...................... 24)38(1
.......... ................. 24
________________
............................. 14)24(1
............................... .. 14
___________________
.... ......................... .... 10)14(1
.. .... ......................... ..... 10
_____________________
.... ......................... ......... 4)10(2
.... ......................... ............ 8
______________________
.... ......................... ............ 2)4(2
.... ......................... ................ 4
_______________________
.... ......................... ............ ... 0