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Find the greatest common factor of 110,40 , and 120.

Find the greatest common factor of $110$ , $40$ , and $120$ .

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Greatest common factor of three or four numbers

Full solution

Q. Find the greatest common factor of

110

,

40

, and

120

.

Factors of $110$ : List the factors of $110$ . $\newline$ To find the factors of $110$ , we look for numbers that divide $110$ without leaving a remainder. $\newline$ Factors of $110$ : $1$ , $2$ , $5$ , $10$ , $11$ , $22$ , $110$ $0$ , $110$
Factors of $40$ : List the factors of $40$ . Similarly, we find the numbers that divide $40$ without leaving a remainder. Factors of $40$ : $1$ , $2$ , $4$ , $5$ , $8$ , $10$ , $20$ , $40$
Factors of $120$ : List the factors of $120$ . $\newline$ We do the same for $120$ to find all numbers that divide it without leaving a remainder. $\newline$ Factors of $120$ : $1$ , $2$ , $3$ , $4$ , $5$ , $6$ , $8$ , $120$ $0$ , $120$ $1$ , $120$ $2$ , $120$ $3$ , $120$ $4$ , $120$ $5$ , $120$ $6$ , $120$ $7$ , $120$
Common factors of $110$ , $40$ , and $120$ : Identify the common factors of $110$ , $40$ , and $120$ . $\newline$ We look for factors that are common to all three numbers. $\newline$ Common factors of $110$ , $40$ , and $120$ : $1$ , $40$ $0$ , $40$ $1$ , $40$ $2$
Greatest common factor (GCF) of $110$ , $40$ , and $120$ : Find the greatest common factor (GCF) of $110$ , $40$ , and $120$ . $\newline$ From the list of common factors, we identify the largest number. $\newline$ GCF of $110$ , $40$ , and $120$ : $10$

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