What is the GCF for 54, 72?

istremage8o

istremage8o

Answered question

2022-05-21

What is the GCF for 54, 72?

Answer & Explanation

concludirgt

concludirgt

Beginner2022-05-22Added 11 answers

Step 1
One way of finding the GCF of two numbers goes as follows:
Divide the larger number by the smaller to give a quotient and remainder.
If the remainder is 0 then the smaller number is the GCF.
Otherwise repeat with the smaller number and the remainder.
In our example, we find:
72 54 = 1 with remainder 18
54 18 = 3 with remainder 0
So the GCF is 18.
Pitrellais

Pitrellais

Beginner2022-05-23Added 2 answers

Step 1
Factors of 54 are { 1 , 2 , 3 , 6 , 9 , 18 , 27 , 54 }
Factors of 72 are { 1 , 2 , 3 , 4 , 6 , 8 , 9 , 12 , 18 , 24 , 36 , 72 }
Hence common factors are { 1 , 2 , 3 , 6 , 9 , 18 }
and Greatest Common Factor is 18

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