GCF of 5356/309, 8730/7158
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5356/309, 8730/7158 i.e 2/737274 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5356/309, 8730/7158.
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 5356/309,8730/7158?
Given fractions are 5356/309,8730/7158
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 5356/309,8730/7158, numerators are 5356,8730
Denominators are 309,7158
The GCF of 5356,8730 is 2 .
LCM of 309,7158 is 737274.
The greatest common factor of 5356/309,8730/7158 = [GCF of 5356,8730]/[LCM of 309,7158]= 2/737274
Therefore, the GCF of 5356/309,8730/7158 is 2/737274.
To find the highest common factor of 5356,8730, we have to find the factors of both numbers and list the highest common factor.
The factors of 5356 are 1, 2, 4, 13, 26, 52, 103, 206, 412, 1339, 2678, 5356
The factors of 8730 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 97, 194, 291, 485, 582, 873, 970, 1455, 1746, 2910, 4365, 8730
The HCF of 5356,8730 is 2.
Lets's calculate GCF of 5356,8730
| 2 | 5356, 8730 |
| 2678, 4365 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5356,8730 By Matching Biggest Common Factor Method
Now, list down the factors of 5356
:1,2,4,13,26,52,103,206,412,1339,2678,5356
Now, list down the factors of 8730
:1,2,3,5,6,9,10,15,18,30,45,90,97,194,291,485,582,873,970,1455,1746,2910,4365,8730
Greatest Common Factor
We found the factors 5356,8730 . The biggest common factor number is the GCF number.
So the greatest common factor 5356,8730 is 2.
Lets's calculate LCM of 309,7158
| 3 | 309, 7158 |
| 103, 2386 |
∴ So the LCM of the given numbers is 3 x 103 x 2386 = 737274
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/737274
Therefore, the GCF of Fractions 5356/309,8730/7158 is 2/737274
Least Common Multiple of 309,7158 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 309,7158 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,7158) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(309,7158) x common factors =3 x 1 = 3
LCM(309,7158) = ( 309 × 7158 ) / 3
LCM(309,7158) = 2211822 / 3
LCM(309,7158) = 737274
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FAQs on GCF of Fractions of 5356/309, 8730/7158
1. What is the HCF of 5356,8730?
The HCF of 5356,8730 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 5356/309, 8730/7158?
Answer: GCF of Numerators as per given numbers 5356/309, 8730/7158 is
GCF of Numerators i.e. for 5356,8730 is 2
LCM of denominators i.e. for 309,7158 is 737274.
Thus, GCF of Fractions is 2/737274.Finally, GCF of Fractions for 5356/309, 8730/7158 is 2/737274.