GCF of 5395/515, 9745/380
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5395/515, 9745/380 i.e 5/39140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5395/515, 9745/380.
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 5395/515,9745/380?
Given fractions are 5395/515,9745/380
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 5395/515,9745/380, numerators are 5395,9745
Denominators are 515,380
The GCF of 5395,9745 is 5 .
LCM of 515,380 is 39140.
The greatest common factor of 5395/515,9745/380 = [GCF of 5395,9745]/[LCM of 515,380]= 5/39140
Therefore, the GCF of 5395/515,9745/380 is 5/39140.
To find the highest common factor of 5395,9745, we have to find the factors of both numbers and list the highest common factor.
The factors of 5395 are 1, 5, 13, 65, 83, 415, 1079, 5395
The factors of 9745 are 1, 5, 1949, 9745
The HCF of 5395,9745 is 5.
Lets's calculate GCF of 5395,9745
| 5 | 5395, 9745 |
| 1079, 1949 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5395,9745 By Matching Biggest Common Factor Method
Now, list down the factors of 5395
:1,5,13,65,83,415,1079,5395
Now, list down the factors of 9745
:1,5,1949,9745
Greatest Common Factor
We found the factors 5395,9745 . The biggest common factor number is the GCF number.
So the greatest common factor 5395,9745 is 5.
Lets's calculate LCM of 515,380
| 5 | 515, 380 |
| 103, 76 |
∴ So the LCM of the given numbers is 5 x 103 x 76 = 39140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/39140
Therefore, the GCF of Fractions 5395/515,9745/380 is 5/39140
Least Common Multiple of 515,380 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 515,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(515,380) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(515,380) x common factors =5 x 1 = 5
LCM(515,380) = ( 515 × 380 ) / 5
LCM(515,380) = 195700 / 5
LCM(515,380) = 39140
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FAQs on GCF of Fractions of 5395/515, 9745/380
1. What is the HCF of 5395,9745?
The HCF of 5395,9745 is 5
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 5395/515, 9745/380?
Answer: GCF of Numerators as per given numbers 5395/515, 9745/380 is
GCF of Numerators i.e. for 5395,9745 is 5
LCM of denominators i.e. for 515,380 is 39140.
Thus, GCF of Fractions is 5/39140.Finally, GCF of Fractions for 5395/515, 9745/380 is 5/39140.