The identity of Fibonacci numbers and Lucas numbers in modulo 7 and modulo 8 can be determined using congruence in modulo tables. In Modulo 8 the relationship of Fibonacci numbers and Lucas numbers can be analyzed in modulo 2 and modulo 4. Fibonacci numbers, and Lucas numbers in modulo 8 can be obtained from Fibonacci numbers and Lucas numbers in modulo 2 and modulo 4. Twice Fibonacci numbers a…