Linear Congruence Calculator

Linear Congruence Calculator

Enter a mod b statement

Solve the modulus equation

3x ≡ 7(mod 4)

Step 1: Calculate d = (3,4)

GCF (3,4) = 1

Step 2: We check to see if 1 | 7

7  =	7
	1

There will be 1 solutions mod 4

Build Diophantine equation from GCF

3x - 4y = 7

Final Answer

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What is the Answer?

How does the Linear Congruence Calculator work?

Free Linear Congruence Calculator - Given an modular equation ax ≡ b (mod m), this solves for x if a solution exists
This calculator has 3 inputs.

What 2 formulas are used for the Linear Congruence Calculator?

ax ≡ b (mod m)
ax + by = c

For more math formulas, check out our Formula Dossier

What 4 concepts are covered in the Linear Congruence Calculator?

congruencea problem of finding an integer x that satisfies the equation ax = b (mod m)equationa statement declaring two mathematical expressions are equallinear congruencea problem of finding an integer x that satisfies the equation ax = b (mod m)modulusthe remainder of a division, after one number is divided by another.
a mod b

Example calculations for the Linear Congruence Calculator

Linear Congruence Calculator Video

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