GCF of 8050/254, 8500/1721
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8050/254, 8500/1721 i.e 50/437134 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8050/254, 8500/1721.
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 8050/254,8500/1721?
Given fractions are 8050/254,8500/1721
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 8050/254,8500/1721, numerators are 8050,8500
Denominators are 254,1721
The GCF of 8050,8500 is 50 .
LCM of 254,1721 is 437134.
The greatest common factor of 8050/254,8500/1721 = [GCF of 8050,8500]/[LCM of 254,1721]= 50/437134
Therefore, the GCF of 8050/254,8500/1721 is 50/437134.
To find the highest common factor of 8050,8500, we have to find the factors of both numbers and list the highest common factor.
The factors of 8050 are 1, 2, 5, 7, 10, 14, 23, 25, 35, 46, 50, 70, 115, 161, 175, 230, 322, 350, 575, 805, 1150, 1610, 4025, 8050
The factors of 8500 are 1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 125, 170, 250, 340, 425, 500, 850, 1700, 2125, 4250, 8500
The HCF of 8050,8500 is 50.
Lets's calculate GCF of 8050,8500
| 2 | 8050, 8500 |
| 5 | 4025, 4250 |
| 5 | 805, 850 |
| 161, 170 |
∴ So the GCF of the given numbers is 2 x 5 x 5 = 50
Greatest Common Factor of 8050,8500 By Matching Biggest Common Factor Method
Now, list down the factors of 8050
:1,2,5,7,10,14,23,25,35,46,50,70,115,161,175,230,322,350,575,805,1150,1610,4025,8050
Now, list down the factors of 8500
:1,2,4,5,10,17,20,25,34,50,68,85,100,125,170,250,340,425,500,850,1700,2125,4250,8500
Greatest Common Factor
We found the factors 8050,8500 . The biggest common factor number is the GCF number.
So the greatest common factor 8050,8500 is 50.
Lets's calculate LCM of 254,1721
Given numbers has no common factors except 1. So, there LCM is their product i.e 437134
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 50/437134
Therefore, the GCF of Fractions 8050/254,8500/1721 is 50/437134
Least Common Multiple of 254,1721 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 254,1721 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(254,1721) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(254,1721) x common factors =1 x 1 = 1
LCM(254,1721) = ( 254 × 1721 ) / 1
LCM(254,1721) = 437134 / 1
LCM(254,1721) = 437134
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FAQs on GCF of Fractions of 8050/254, 8500/1721
1. What is the HCF of 8050,8500?
The HCF of 8050,8500 is 50
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 8050/254, 8500/1721?
Answer: GCF of Numerators as per given numbers 8050/254, 8500/1721 is
GCF of Numerators i.e. for 8050,8500 is 50
LCM of denominators i.e. for 254,1721 is 437134.
Thus, GCF of Fractions is 50/437134.Finally, GCF of Fractions for 8050/254, 8500/1721 is 50/437134.