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Sunday, June 28, 2020

H.C.F of Three Numbers Using Long Division Method

H.C.F for Three numbers by using Long Division Method:

Step-1: First, we need to find H.C.F of any two numbers.

Step-2: Now, we need to find out the H.C.F of the third number and the H.C.F obtained in step-1.

Step-3: H.C.F obtained in step-2  will be the H.C.F of the three numbers.

 In a similar way by following the steps in finding the H.C.F for Three numbers, we can find out H.C.F for more than three numbers by using Long Division method.


Find the H.C.F of numbers by Long Division method:

1) 255, 136, 170.

Answer:

(i) H.C.F  of  two numbers 136, 170 = 34.









(ii) Now, we need to find out H.C.F of third number:255, and the H.C.F obtained in Step-1 : 34.

i.e; Need to find H.C.F for 34 and 255.









(iii) H.C.F obtained in step-2 is the H.C.F of the three numbers.

Therefore, H.C.F of 255, 136, 170 = 17.

 

2) 144, 252, 630.

Answer:

(i) H.C.F of 144 and 252 = 36.









(ii) Now, we need to find out H.C.F of third number:630, and the H.C.F obtained in Step-1 :36 .

i.e; Need to find H.C.F for 36 and 630.

 








(iii) H.C.F obtained in step-2 is the H.C.F of the three numbers.

Therefore, H.C.F of 144, 252, 630 = 18.

 

3) 639, 1065, 1491.

Answer:

(i) H.C.F  of 1065 and 1491 = 213.

 









(ii) Now, we need to find out H.C.F of third number:639, and the H.C.F obtained in Step-1: 213 .

i.e; Need to find H.C.F for 213 and 639.







(iii) H.C.F obtained in step-2 is the H.C.F of the three numbers.

Therefore, H.C.F of 639, 1065, 1491 = 213.

 

4) 144, 180, 192.

Answer:

(i) H.C.F  of 180, 192 =  12.










(ii) Now, we need to find out H.C.F of third number: 144, and the H.C.F obtained in Step-1: 12.

i.e; Need to find H.C.F for 12 and 144.








(iii) H.C.F obtained in step-2 is the H.C.F of the three numbers.

Therefore, H.C.F of 144, 180, 192 = 12.




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