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Find the HCF by division method
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Step-by-step explanation:
example -
Step I:
First of all find the highest common factor (H.C.F) of any two of the given numbers.
Step II:
Now find the highest common factor (H.C.F) of the third given number and the highest common factor (H.C.F) obtained in Step 1 from first and the second number.
1. Find highest common factor (H.C.F) of 184, 230 and 276 by using division method.
Solution:
Let us find the highest common factor (H.C.F) of 184 and 230.
above in image 1
Highest common factor of 184 and 230 = 46.
Now find the H.C.F. of 276 and 46.
given image 2
Highest common factor of 276 and 46 = 46.
Therefore, required highest common factor (H.C.F) of 184, 230 and 276 = 46.
2. Find highest common factor (H.C.F) of 136, 170 and 255 by using division method.
Solution:
Let us find the highest common factor (H.C.F) of 136 and 170.
as given in 3 image
Highest common factor of 34 and 255 = 17.
Therefore, required highest common factor (H.C.F) of 136, 170 and 255 = 17.
3. Using long division method, find H.C.F of 891, 1215 and 1377.
in given pic 4 image
Therefore, highest common factor of 891 and 1215 is 81 and now we shall find H.C.F of 81 and 1377.
Therefore, highest common factor of 891 and 1215 is 81 and now we shall find H.C.F of 81 and 1377.
in pic 5
Therefore, H.C.F. of 891, 1215 and 1377
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