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Euclid's Algorithm Calculator
Euclid's Algorithm Calculator
Enter values
Last update: 2024-06-18
0
/
0
Value 1
Value 2
Calculate
Result:
21
Formula
G
C
D
(
a
,
b
)
=
{
G
C
D
(
b
,
a
mod
(
b
)
)
,
if
b
≠
0
,
if
b
=
0
}
Solution steps
1.
Calculate the modulo using the
Modulo Calculator
1.
Calculate the modulo
mod(1071,462)
mod(1071,462)
= 147
2.
1071 = 2 * 462 + 147
= Remainder 147
3.
147 > 0. Repeat calculation
1.
Calculate the modulo
mod(462,147)
mod(462,147)
= 21
4.
462 = 3 * 147 + 21
= Remainder 21
5.
21 > 0. Repeat calculation
1.
Calculate the modulo
mod(147,21)
mod(147,21)
= 0
6.
147 = 7 * 21 + 0
= Remainder 0
7.
Mod = 0
= 21
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