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Standard X
Mathematics
Euclid's Division Algorithm
Question
If the H.C.F of
657
and
963
is expressible in the form
657
x
−
(
963
×
15
)
, find
x
.
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Solution
Verified by Toppr
Using Euclid's division
a
=
b
q
+
r
963
=
657
×
1
+
306
657
=
306
×
2
+
45
306
=
45
×
6
+
36
45
=
36
×
1
+
9
36
=
9
×
4
+
0
∴
H.C.F
=
9
∴
9
=
657
x
−
(
963
×
15
)
657
x
=
14454
x
=
22
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