Question

Find the HCF of the following numbers by long division method:
a. 34 and 102
b. 12, 45 and 75

Answer 1

Answer:

(a) 2|34

17|17

|1

34= 2*17

2| 102

3|51

17|17

|1

102= 2*3*17

so, the hcf of 34 and 102 is 34

Answer 2

✫ɢɪᴠᴇɴ✫

• ғɪɴᴅ ᴛʜᴇ ʜ.ᴄ.ʜ. 34&102 ʙʏ ʟᴏɴɢ ᴅɪᴠɪsɪᴏɴ ᴍᴇᴛʜᴏᴅ

➪Tᴏ ғɪɴᴅ:-

• ʜ.ᴄ.ғ ᴏғ 34&102

✔Sᴏʟᴜᴛɪᴏɴ:-

• $34)102(3 \\ - 102 \\ 000$
• ʜᴄғ=34

✫ɢɪᴠᴇɴ:-

• Fɪɴᴅ ʜ.ᴄ.ғ. ᴏғ 12,45&75 ʙʏ ʟᴏɴɢ ᴅɪᴠɪsɪᴏɴ ᴍᴇᴛʜᴏᴅ.

➪Tᴏ ғɪɴᴅ:-

• ʜ.ᴄ.ғ. ᴏғ 12,45&75

✔Sᴏʟᴜᴛɪᴏɴ:-

• $12)45(3 \\ - 36 \\ \: \: \: \: \: 9)75(8 \\ \: \: - 72 \\ \: \: \: \: \: \: \: \: 3)75(25 \\ \: \: - 6 \\ \: \: \: \: \: \: \: \: 15 \\ \: \: \: \: \: - 15 \\ \: \: \: \: \: \: \: \: \: 00$
• H.ᴄ.ғ=3

☆ᴀᴅᴅɪᴛɪᴏɴᴀʟ ɪɴғᴏʀᴍᴀᴛɪᴏɴ:-

1. Wʜᴀᴛ ɪs ʜ.ᴄ.ғ.?

H.C.F. stands for highest or the greatest common factor of a number.

This number is any two or 1 numbers factor which is the highest or greatest value on multiplication of the two numbers.

Hope it was helpful...

Thanks for asking....,☺