GCF of 1744/394, 5000/254
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1744/394, 5000/254 i.e 8/50038 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1744/394, 5000/254.
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 1744/394,5000/254?
Given fractions are 1744/394,5000/254
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 1744/394,5000/254, numerators are 1744,5000
Denominators are 394,254
The GCF of 1744,5000 is 8 .
LCM of 394,254 is 50038.
The greatest common factor of 1744/394,5000/254 = [GCF of 1744,5000]/[LCM of 394,254]= 8/50038
Therefore, the GCF of 1744/394,5000/254 is 8/50038.
To find the highest common factor of 1744,5000, we have to find the factors of both numbers and list the highest common factor.
The factors of 1744 are 1, 2, 4, 8, 16, 109, 218, 436, 872, 1744
The factors of 5000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, 5000
The HCF of 1744,5000 is 8.
Lets's calculate GCF of 1744,5000
| 2 | 1744, 5000 |
| 2 | 872, 2500 |
| 2 | 436, 1250 |
| 218, 625 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 1744,5000 By Matching Biggest Common Factor Method
Now, list down the factors of 1744
:1,2,4,8,16,109,218,436,872,1744
Now, list down the factors of 5000
:1,2,4,5,8,10,20,25,40,50,100,125,200,250,500,625,1000,1250,2500,5000
Greatest Common Factor
We found the factors 1744,5000 . The biggest common factor number is the GCF number.
So the greatest common factor 1744,5000 is 8.
Lets's calculate LCM of 394,254
| 2 | 394, 254 |
| 197, 127 |
∴ So the LCM of the given numbers is 2 x 197 x 127 = 50038
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/50038
Therefore, the GCF of Fractions 1744/394,5000/254 is 8/50038
Least Common Multiple of 394,254 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 394,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(394,254) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(394,254) x common factors =2 x 1 = 2
LCM(394,254) = ( 394 × 254 ) / 2
LCM(394,254) = 100076 / 2
LCM(394,254) = 50038
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FAQs on GCF of Fractions of 1744/394, 5000/254
1. What is the HCF of 1744,5000?
The HCF of 1744,5000 is 8
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 1744/394, 5000/254?
Answer: GCF of Numerators as per given numbers 1744/394, 5000/254 is
GCF of Numerators i.e. for 1744,5000 is 8
LCM of denominators i.e. for 394,254 is 50038.
Thus, GCF of Fractions is 8/50038.Finally, GCF of Fractions for 1744/394, 5000/254 is 8/50038.