GCF of 5185/826, 5307/711
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5185/826, 5307/711 i.e 61/587286 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5185/826, 5307/711.
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 5185/826,5307/711?
Given fractions are 5185/826,5307/711
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 5185/826,5307/711, numerators are 5185,5307
Denominators are 826,711
The GCF of 5185,5307 is 61 .
LCM of 826,711 is 587286.
The greatest common factor of 5185/826,5307/711 = [GCF of 5185,5307]/[LCM of 826,711]= 61/587286
Therefore, the GCF of 5185/826,5307/711 is 61/587286.
To find the highest common factor of 5185,5307, we have to find the factors of both numbers and list the highest common factor.
The factors of 5185 are 1, 5, 17, 61, 85, 305, 1037, 5185
The factors of 5307 are 1, 3, 29, 61, 87, 183, 1769, 5307
The HCF of 5185,5307 is 61.
Lets's calculate GCF of 5185,5307
| 61 | 5185, 5307 |
| 85, 87 |
∴ So the GCF of the given numbers is 61 = 61
Greatest Common Factor of 5185,5307 By Matching Biggest Common Factor Method
Now, list down the factors of 5185
:1,5,17,61,85,305,1037,5185
Now, list down the factors of 5307
:1,3,29,61,87,183,1769,5307
Greatest Common Factor
We found the factors 5185,5307 . The biggest common factor number is the GCF number.
So the greatest common factor 5185,5307 is 61.
Lets's calculate LCM of 826,711
Given numbers has no common factors except 1. So, there LCM is their product i.e 587286
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 61/587286
Therefore, the GCF of Fractions 5185/826,5307/711 is 61/587286
Least Common Multiple of 826,711 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 826,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(826,711) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(826,711) x common factors =1 x 1 = 1
LCM(826,711) = ( 826 × 711 ) / 1
LCM(826,711) = 587286 / 1
LCM(826,711) = 587286
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FAQs on GCF of Fractions of 5185/826, 5307/711
1. What is the HCF of 5185,5307?
The HCF of 5185,5307 is 61
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 5185/826, 5307/711?
Answer: GCF of Numerators as per given numbers 5185/826, 5307/711 is
GCF of Numerators i.e. for 5185,5307 is 61
LCM of denominators i.e. for 826,711 is 587286.
Thus, GCF of Fractions is 61/587286.Finally, GCF of Fractions for 5185/826, 5307/711 is 61/587286.