Respuesta :

GCF of 21, 49, 35 is 7

Step-by-step explanation:

GCF is the greatest common factor

  • The factors of a number are the numbers you multiply to get the number
  • The GCF of some numbers is the greatest common factor of the common factors of the numbers
  • Ex: the greatest common factor of 4, 6, and 10 is 2, because the factors of 4 are 1, 2, 4, the factors of 6 are 1, 2, 3, 6, and the factors of 10 are 1, 2, 5, 10, the common factors are 1 and 2, the greatest is 2

∵ 21 = 1 × 21, 3 × 7

∴ The factors of 21 are 1, 3, 7, 21

∵ 49 = 1 × 49, 7 × 7

∴ The factors of 49 are 1, 7, 49

∵ 35 = 1 × 35, 5 × 7

∴ The factors of 35 are 1, 5, 7, 35

Lets find the common factors of the three numbers

∵ The common factors are 1 and 7

∵ The greatest is 7

∴ The greatest common factor of 21, 49, 35 is 7

GCF of 21, 49, 35 is 7

Learn more:

You can learn more about the factors in brainly.com/question/5194236

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EDU ACCESS
Universidad de Mexico