1.

1. Use Euclid's division algorithm to find the HCF of:(1) 135 and 225(ii) 196 and 38220(iii) 867 and 255​

Answer»

Answer:

(1) 135 and 225 = 45.

(2) 196 and 38220 = 196.

(3) 867 and 255 = 51.

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Step-by-step EXPLANATION:

(i) 135 and 225

A- Here, 225 > 135.

So, 225 = 135x1 + 90

135 = 90x1 + 45

90 = 45x2 + 0

Now, the remainder has BECOME zero.

So, the H.C.F. of 225 and 135 is 45.

(ii) 196 and 38220

A- Here, 38220 > 196.

So, 38220 = 196x195 + 0

Since,the remainder has now become zero.

So,the H.C.F. of 196 and 38220 is 196.

(iii) 867 and 255.

A- Here, 867 > 255.

So, 867 = 255x3 + 102

255 = 102x2 + 51

102 = 51x2 + 0

Since,the remainder has now become zero.

So,the H.C.F. of 867 and 255 is 51.


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