larkinc334 larkinc334
  • 22-10-2020
  • Mathematics
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The GCF of two numbers is equal to the lesser of the numbers? Always,sometimes, or never true

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 22-10-2020

Answer:

Sometimes

Step-by-step explanation:

To answer this question, I'll make use of the following illustrations:

GCF of 4 and 10

[tex]4 = 1 * 2 * 2[/tex]

[tex]10 = 1 * 2 * 5[/tex]

Hence:

The GCF is

[tex]GCF = 1 * 2[/tex]

[tex]GCF = 2[/tex]

GCF of 5 and 10

[tex]5 = 1 * 5[/tex]

[tex]10 = 1 * 2 * 5[/tex]

[tex]GCF = 1 * 5[/tex]

[tex]GCF = 5[/tex]

In the first scenario, the GCF is lesser than the smallest number.

In the second, the GCF is equal to the smaller number.

Hence:

The option that completes the question is "sometimes"

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