GCF of 5174/625, 5394/1865
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5174/625, 5394/1865 i.e 2/233125 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5174/625, 5394/1865.
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 5174/625,5394/1865?
Given fractions are 5174/625,5394/1865
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 5174/625,5394/1865, numerators are 5174,5394
Denominators are 625,1865
The GCF of 5174,5394 is 2 .
LCM of 625,1865 is 233125.
The greatest common factor of 5174/625,5394/1865 = [GCF of 5174,5394]/[LCM of 625,1865]= 2/233125
Therefore, the GCF of 5174/625,5394/1865 is 2/233125.
To find the highest common factor of 5174,5394, we have to find the factors of both numbers and list the highest common factor.
The factors of 5174 are 1, 2, 13, 26, 199, 398, 2587, 5174
The factors of 5394 are 1, 2, 3, 6, 29, 31, 58, 62, 87, 93, 174, 186, 899, 1798, 2697, 5394
The HCF of 5174,5394 is 2.
Lets's calculate GCF of 5174,5394
| 2 | 5174, 5394 |
| 2587, 2697 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5174,5394 By Matching Biggest Common Factor Method
Now, list down the factors of 5174
:1,2,13,26,199,398,2587,5174
Now, list down the factors of 5394
:1,2,3,6,29,31,58,62,87,93,174,186,899,1798,2697,5394
Greatest Common Factor
We found the factors 5174,5394 . The biggest common factor number is the GCF number.
So the greatest common factor 5174,5394 is 2.
Lets's calculate LCM of 625,1865
| 5 | 625, 1865 |
| 125, 373 |
∴ So the LCM of the given numbers is 5 x 125 x 373 = 233125
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/233125
Therefore, the GCF of Fractions 5174/625,5394/1865 is 2/233125
Least Common Multiple of 625,1865 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 625,1865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(625,1865) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(625,1865) x common factors =5 x 1 = 5
LCM(625,1865) = ( 625 × 1865 ) / 5
LCM(625,1865) = 1165625 / 5
LCM(625,1865) = 233125
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FAQs on GCF of Fractions of 5174/625, 5394/1865
1. What is the HCF of 5174,5394?
The HCF of 5174,5394 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 5174/625, 5394/1865?
Answer: GCF of Numerators as per given numbers 5174/625, 5394/1865 is
GCF of Numerators i.e. for 5174,5394 is 2
LCM of denominators i.e. for 625,1865 is 233125.
Thus, GCF of Fractions is 2/233125.Finally, GCF of Fractions for 5174/625, 5394/1865 is 2/233125.