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What is the greatest common factor of 35 and 34?
The greatest common factor of 34 and 35 is 1. The GCF of any two consecutive integers is always 1. The GCF of a pair can't be any larger than the difference between the two numbers.
What is a gcf of 17 and 34?
The greatest common factor of the numbers 17 and 34 is 17.
What is the greatest common factor of 34 and 15?
Factors of 15 are 1, 3, 5 and 15. Factors of 34 are 1, 2, 17 and 34. Only common factor is 1, which is also the GCF of both numbers.
What is the greatest common factor of the numbers 34 51 and 68?
The GCF is 17.
Why is the product of the LCM and HCF the same as the product of the original pair of numbers?
It's the way numbers work. Consider 32 and 33. Consecutive integers are relatively prime, that is, their GCF is 1. If two numbers have a GCF of 1, the LCM will be their product. 32 x 33 = 1056 1 (GCF) x 1056 (LCM) = 1056 2 x 528 = 1056 3 x 352 = 1056 4 x 264 = 1056 Notice the pattern. As the GCF increases, the LCM decreases. Consider 32 and 34. Consecutive even numbers have a GCF of 2. The LCM of 32 and 34 is 544. 32 x 34 = 1088 2 (GCF) x 544 (LCM) = 1088 If you know either the GCF or the LCM of two numbers, you can find the other one without factoring again. The GCF of 28 and 36 is 4. Their product is 1008. Their LCM is 1008 divided by 4, or 252.
What is the gcf of 34 51 and 68?
The greatest common factor (GCF) of 34, 51, and 68 is 17. To find the GCF, you need to determine the factors of each number and then identify the largest factor that is common to all three numbers. In this case, the factors of 34 are 1, 2, 17, and 34; the factors of 51 are 1, 3, 17, and 51; and the factors of 68 are 1, 2, 4, 17, 34, and 68. The largest factor that is common to all three numbers is 17, making it the GCF.
What is the smallest two numbers could be if they have a GCF of 850 and they can't be divisible by each other?
If the two numbers have a Greatest Common Factor of 850, the smallest they can be are the lowest two relatively prime multiples of 850, which are 2 and 3. The numbers would be 1700 and 2550.*If, conversely, the numbers sought have a Least Common Multiple of 850, the numbers are 25 and 34, as the next pair would be 17 and 50.
What is the GCF 68 and 34?
The GCF is 34.
What is the greatist common factor of 34?
You need at least two numbers to find a GCF.
What is the greatest common factor if 34?
You need at least two numbers to find a GCF.
What is the GCF of 102 and 170?
The greatest common factor of the numbers 102 and 170 is 34.
Which pair of composite numbers has a GCF of 1?
Two composite numbers are considered relatively prime if their greatest common factor (GCF) is 1. For example, the pair of composite numbers 15 and 28 have a GCF of 1 because the factors of 15 are 1, 3, 5, and 15, while the factors of 28 are 1, 2, 4, 7, 14, and 28, and they do not share any common factors other than 1. Another example is the pair of composite numbers 21 and 34, as their factors are 1, 3, 7, 21 and 1, 2, 17, 34 respectively, and their GCF is also 1.
