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What is the gcf of 4 and 10 and 14?

Updated: 4/28/2022
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11y ago

Best Answer

The factors of 4 are:

1, 2, 4

The factors of 10 are:

1, 2, 5, 10

The factors of 14 are:

1, 2, 7, 14

The common factors are:

1, 2

The Greatest Common Factor (GCF) is:

2

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11y ago
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Q: What is the gcf of 4 and 10 and 14?
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What is the greatest common factor of 14 and 10 and 4?

The GCF of 4, 10, and 14 is 2.The factors of 4 are 2*2. Four is not a factor of 10 and 14. All are even. Thus the GCF of 2.


What are the greatest common factor of 4 10 and 14?

The GCF is 2.


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The GCF is 2.


How do you do the Euclid method for greatest common factor?

Euclid's method is great for extremely large numbers - numbers which are extremely hard to factor. It doesn't require you to figure out the factors.I think the method is best explained with an example. Suppose you want the greatest common factor of 14 and 10. This is the same as the gcf of 10 and 4 - where 4 is the REMAINDER of the division of 14 by 10 (if you divide 14 by 10, you get 1, with a reminder of 4). Repeat: gcf(10, 4) = gcf(4, 2) - once again, the 2 is obtained as the remainder of the division, in this case, of 10 by 4. gcf(4, 2) = gcf(2, 0) - in this case, the remainder is zero. As soon as one of the numbers is zero, the other is the answer: gcf(2, 0) = 2


How did Euclid find greatest common denominator for greatest common factor?

Euclid's method is great for extremely large numbers - numbers which are extremely hard to factor. It doesn't require you to figure out the factors.I think the method is best explained with an example. Suppose you want the greatest common factor of 14 and 10. This is the same as the gcf of 10 and 4 - where 4 is the REMAINDER of the division of 14 by 10 (if you divide 14 by 10, you get 1, with a reminder of 4). Repeat: gcf(10, 4) = gcf(4, 2) - once again, the 2 is obtained as the remainder of the division, in this case, of 10 by 4. gcf(4, 2) = gcf(2, 0) - in this case, the remainder is zero. As soon as one of the numbers is zero, the other is the answer: gcf(2, 0) = 2


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The GCF of 4 and 10 is 2.


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The GCF of 10, 14, and 40 is 2.


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gcf(6, 10, 11, 14) is 1.


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The GCF is 2.


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Is 14 the GCF of 52 and 28?

No, 14 is not a factor of 52. The GCF is 4.