What is gcd 24,14,21 ?

The solution to gcd 24,14,21 is 1

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Find the GCF 24 , 14 , 21

gcf

24, 14, 21

1

Solution steps

24, 14, 21

Prime factorization of

24 : 2 \cdot 2 \cdot 2 \cdot 3

24

24

divides by

224 = 12 \cdot 2

= 2 \cdot 12

12

divides by

212 = 6 \cdot 2

= 2 \cdot 2 \cdot 6

6

divides by

26 = 3 \cdot 2

= 2 \cdot 2 \cdot 2 \cdot 3

2, 3

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 2 \cdot 3

Prime factorization of

14 : 2 \cdot 7

14

14

divides by

214 = 7 \cdot 2

= 2 \cdot 7

2, 7

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 7

Prime factorization of

21 : 3 \cdot 7

21

21

divides by

321 = 7 \cdot 3

= 3 \cdot 7

3, 7

are all prime numbers, therefore no further factorization is possible

= 3 \cdot 7

No common factor for

24

and

14

therefore the GCD is 1

= 1

3 \frac{1}{6}

t o a p erce n t a g e (19 p i) /17

t h e \frac{105}{180}

36 x - 6

t o a p erce n t a g e 4/15