GCF of 794/728, 9684/766
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 794/728, 9684/766 i.e 2/278824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 794/728, 9684/766.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 794/728,9684/766?
Given fractions are 794/728,9684/766
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 794/728,9684/766, numerators are 794,9684
Denominators are 728,766
The GCF of 794,9684 is 2 .
LCM of 728,766 is 278824.
The greatest common factor of 794/728,9684/766 = [GCF of 794,9684]/[LCM of 728,766]= 2/278824
Therefore, the GCF of 794/728,9684/766 is 2/278824.
To find the highest common factor of 794,9684, we have to find the factors of both numbers and list the highest common factor.
The factors of 794 are 1, 2, 397, 794
The factors of 9684 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 269, 538, 807, 1076, 1614, 2421, 3228, 4842, 9684
The HCF of 794,9684 is 2.
Lets's calculate GCF of 794,9684
| 2 | 794, 9684 |
| 397, 4842 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 794,9684 By Matching Biggest Common Factor Method
Now, list down the factors of 794
:1,2,397,794
Now, list down the factors of 9684
:1,2,3,4,6,9,12,18,36,269,538,807,1076,1614,2421,3228,4842,9684
Greatest Common Factor
We found the factors 794,9684 . The biggest common factor number is the GCF number.
So the greatest common factor 794,9684 is 2.
Lets's calculate LCM of 728,766
| 2 | 728, 766 |
| 364, 383 |
∴ So the LCM of the given numbers is 2 x 364 x 383 = 278824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/278824
Therefore, the GCF of Fractions 794/728,9684/766 is 2/278824
Least Common Multiple of 728,766 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 728,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(728,766) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(728,766) x common factors =2 x 1 = 2
LCM(728,766) = ( 728 × 766 ) / 2
LCM(728,766) = 557648 / 2
LCM(728,766) = 278824
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FAQs on GCF of Fractions of 794/728, 9684/766
1. What is the HCF of 794,9684?
The HCF of 794,9684 is 2
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 794/728, 9684/766?
Answer: GCF of Numerators as per given numbers 794/728, 9684/766 is
GCF of Numerators i.e. for 794,9684 is 2
LCM of denominators i.e. for 728,766 is 278824.
Thus, GCF of Fractions is 2/278824.Finally, GCF of Fractions for 794/728, 9684/766 is 2/278824.