GCF of 8174/176, 8816/8306
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8174/176, 8816/8306 i.e 2/730928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8174/176, 8816/8306.
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 8174/176,8816/8306?
Given fractions are 8174/176,8816/8306
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 8174/176,8816/8306, numerators are 8174,8816
Denominators are 176,8306
The GCF of 8174,8816 is 2 .
LCM of 176,8306 is 730928.
The greatest common factor of 8174/176,8816/8306 = [GCF of 8174,8816]/[LCM of 176,8306]= 2/730928
Therefore, the GCF of 8174/176,8816/8306 is 2/730928.
To find the highest common factor of 8174,8816, we have to find the factors of both numbers and list the highest common factor.
The factors of 8174 are 1, 2, 61, 67, 122, 134, 4087, 8174
The factors of 8816 are 1, 2, 4, 8, 16, 19, 29, 38, 58, 76, 116, 152, 232, 304, 464, 551, 1102, 2204, 4408, 8816
The HCF of 8174,8816 is 2.
Lets's calculate GCF of 8174,8816
| 2 | 8174, 8816 |
| 4087, 4408 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8174,8816 By Matching Biggest Common Factor Method
Now, list down the factors of 8174
:1,2,61,67,122,134,4087,8174
Now, list down the factors of 8816
:1,2,4,8,16,19,29,38,58,76,116,152,232,304,464,551,1102,2204,4408,8816
Greatest Common Factor
We found the factors 8174,8816 . The biggest common factor number is the GCF number.
So the greatest common factor 8174,8816 is 2.
Lets's calculate LCM of 176,8306
| 2 | 176, 8306 |
| 88, 4153 |
∴ So the LCM of the given numbers is 2 x 88 x 4153 = 730928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/730928
Therefore, the GCF of Fractions 8174/176,8816/8306 is 2/730928
Least Common Multiple of 176,8306 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 176,8306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(176,8306) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(176,8306) x common factors =2 x 1 = 2
LCM(176,8306) = ( 176 × 8306 ) / 2
LCM(176,8306) = 1461856 / 2
LCM(176,8306) = 730928
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FAQs on GCF of Fractions of 8174/176, 8816/8306
1. What is the HCF of 8174,8816?
The HCF of 8174,8816 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 8174/176, 8816/8306?
Answer: GCF of Numerators as per given numbers 8174/176, 8816/8306 is
GCF of Numerators i.e. for 8174,8816 is 2
LCM of denominators i.e. for 176,8306 is 730928.
Thus, GCF of Fractions is 2/730928.Finally, GCF of Fractions for 8174/176, 8816/8306 is 2/730928.