GCF of 1900/806, 5125/3710
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1900/806, 5125/3710 i.e 25/1495130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1900/806, 5125/3710.
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 1900/806,5125/3710?
Given fractions are 1900/806,5125/3710
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 1900/806,5125/3710, numerators are 1900,5125
Denominators are 806,3710
The GCF of 1900,5125 is 25 .
LCM of 806,3710 is 1495130.
The greatest common factor of 1900/806,5125/3710 = [GCF of 1900,5125]/[LCM of 806,3710]= 25/1495130
Therefore, the GCF of 1900/806,5125/3710 is 25/1495130.
To find the highest common factor of 1900,5125, we have to find the factors of both numbers and list the highest common factor.
The factors of 1900 are 1, 2, 4, 5, 10, 19, 20, 25, 38, 50, 76, 95, 100, 190, 380, 475, 950, 1900
The factors of 5125 are 1, 5, 25, 41, 125, 205, 1025, 5125
The HCF of 1900,5125 is 25.
Lets's calculate GCF of 1900,5125
| 5 | 1900, 5125 |
| 5 | 380, 1025 |
| 76, 205 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 1900,5125 By Matching Biggest Common Factor Method
Now, list down the factors of 1900
:1,2,4,5,10,19,20,25,38,50,76,95,100,190,380,475,950,1900
Now, list down the factors of 5125
:1,5,25,41,125,205,1025,5125
Greatest Common Factor
We found the factors 1900,5125 . The biggest common factor number is the GCF number.
So the greatest common factor 1900,5125 is 25.
Lets's calculate LCM of 806,3710
| 2 | 806, 3710 |
| 403, 1855 |
∴ So the LCM of the given numbers is 2 x 403 x 1855 = 1495130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/1495130
Therefore, the GCF of Fractions 1900/806,5125/3710 is 25/1495130
Least Common Multiple of 806,3710 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 806,3710 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(806,3710) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(806,3710) x common factors =2 x 1 = 2
LCM(806,3710) = ( 806 × 3710 ) / 2
LCM(806,3710) = 2990260 / 2
LCM(806,3710) = 1495130
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FAQs on GCF of Fractions of 1900/806, 5125/3710
1. What is the HCF of 1900,5125?
The HCF of 1900,5125 is 25
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 1900/806, 5125/3710?
Answer: GCF of Numerators as per given numbers 1900/806, 5125/3710 is
GCF of Numerators i.e. for 1900,5125 is 25
LCM of denominators i.e. for 806,3710 is 1495130.
Thus, GCF of Fractions is 25/1495130.Finally, GCF of Fractions for 1900/806, 5125/3710 is 25/1495130.