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# Can the GCF be larger than the smallest coefficient?

Updated: 9/18/2023

Wiki User

13y ago

No. The GCF can be less than or equal to the smallest coefficient.

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13y ago

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Q: Can the GCF be larger than the smallest coefficient?
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No.

Yes.

### Can the greatest common factor ever be smaller than the smallest coefficient?

No. The smallest coefficient possible is 1, and the smallest GCF is also 1. You cannot have a common factor of zero.

### Can the GCF of 2 numbers be less than the first number?

The GCF of 2 numbers can be less than either number.

### What is the greatest common factor of 18 20 and 26?

The GCF of 18, 20, and 26 is 2. The GCF of a set of numbers can't be any larger than the smallest difference between the numbers. The smallest difference within this set of numbers is 2. Since all of the numbers in the set are even, 2 is the greatest common factor.

### What is the greatest common factor of 6 8 and 14?

The GCF of 6, 8, and 14 is 2. The GCF can't be any larger than the smallest difference between any two numbers in the set. This smallest difference is 8-6 = 2. Since two is a factor of all three integers in the set, the GCF must be 2.

### What is the greatest common factor of 120 150 and 180?

The GCF of 120, 150, and 180 is 30. The GCF of a set can't be larger than the smallest difference between numbers in the set, which, in this case, is 30. Since 30 is a factor of all of the numbers of the set, it is the GCF.

### Is the greatest common factor of a pair of numbers ever greater than both numbers explain with an example?

I can't give you an example of when that happens because that doesn't ever happen. The GCF of a pair of numbers can't be larger than the smaller number.

Yes.

### Can the GCF of 16 and 42 be lass than 16?

Sure. It happens to be 2 .The GCF of a group of numbers can never bemore than the smallest one in the bunch.

### What is the greatest common factor of 120 180 and 240?

The greatest common factor of the numbers 120, 180 and 240 is 60. The GCF can't be any larger than the smallest difference between the numbers, which is 60. It is easy to see that 60 is a factor of each of the numbers in the set, so it is the GCF.

### What is the greatest common factor of 4 12 and 84?

The GCF of 4, 12, and 84 is 4. The GCF can never be greater than the smallest of the numbers in the set. In this case, the smallest number is 4, and it is easy to see that it is a factor of both 12 and 84.