GCF of 784/33, 935/816
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 784/33, 935/816 i.e 1/8976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 784/33, 935/816.
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 784/33,935/816?
Given fractions are 784/33,935/816
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 784/33,935/816, numerators are 784,935
Denominators are 33,816
The GCF of 784,935 is 1 .
LCM of 33,816 is 8976.
The greatest common factor of 784/33,935/816 = [GCF of 784,935]/[LCM of 33,816]= 1/8976
Therefore, the GCF of 784/33,935/816 is 1/8976.
To find the highest common factor of 784,935, we have to find the factors of both numbers and list the highest common factor.
The factors of 784 are 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
The factors of 935 are 1, 5, 11, 17, 55, 85, 187, 935
The HCF of 784,935 is 1.
Lets's calculate GCF of 784,935
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 784,935 By Matching Biggest Common Factor Method
Now, list down the factors of 784
:1,2,4,7,8,14,16,28,49,56,98,112,196,392,784
Now, list down the factors of 935
:1,5,11,17,55,85,187,935
Greatest Common Factor
We found the factors 784,935 . The biggest common factor number is the GCF number.
So the greatest common factor 784,935 is 1.
Lets's calculate LCM of 33,816
| 3 | 33, 816 |
| 11, 272 |
∴ So the LCM of the given numbers is 3 x 11 x 272 = 8976
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8976
Therefore, the GCF of Fractions 784/33,935/816 is 1/8976
Least Common Multiple of 33,816 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 33,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,816) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(33,816) x common factors =3 x 1 = 3
LCM(33,816) = ( 33 × 816 ) / 3
LCM(33,816) = 26928 / 3
LCM(33,816) = 8976
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FAQs on GCF of Fractions of 784/33, 935/816
1. What is the HCF of 784,935?
The HCF of 784,935 is 1
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 784/33, 935/816?
Answer: GCF of Numerators as per given numbers 784/33, 935/816 is
GCF of Numerators i.e. for 784,935 is 1
LCM of denominators i.e. for 33,816 is 8976.
Thus, GCF of Fractions is 1/8976.Finally, GCF of Fractions for 784/33, 935/816 is 1/8976.