What two numbers have a GCF of 1683?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1683.

There is actually an infinite number of answers to this question. First, note that both the numbers we are looking for must be multiples of 1683. Below is the beginning list of multiples of 1683 (1 through 7) in numerical order.

1. 1683
2. 3366
3. 5049
4. 6732
5. 8415
6. 10098
7. 11781
etc...

Two numbers that have a GCF of 1683 can be 1683 and any other number on the list above. Thus, two numbers that have a GCF of 1683 are:

1683 & 3366
1683 & 5049
1683 & 6732
etc...

That is not all! Any combination of any multiple of 1683 and "odd" multiples of 1683 will also have GCF of 1683. We numbered the multiples above so it would be easy to identify the "odd" multiples (number 1, 3, 5, 7, etc). Thus, here are some more examples of two numbers that also have a GCF of 1683.

3366 & 5049
3366 & 8415
6732 & 8415
6732 & 11781
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1683. The lists we created can go on forever.

Two numbers have a GCF of Calculator
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Teacher Tip: If you are a teacher, you could ask these questions of your students: "I am thinking of two numbers and the GCF is 1683, what are the numbers?" or "What are two numbers whose GCF is 1683?"

What two numbers have a GCF of 1684?
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