GCF of 8375/254, 5400/6137
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8375/254, 5400/6137 i.e 25/1558798 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8375/254, 5400/6137.
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 8375/254,5400/6137?
Given fractions are 8375/254,5400/6137
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 8375/254,5400/6137, numerators are 8375,5400
Denominators are 254,6137
The GCF of 8375,5400 is 25 .
LCM of 254,6137 is 1558798.
The greatest common factor of 8375/254,5400/6137 = [GCF of 8375,5400]/[LCM of 254,6137]= 25/1558798
Therefore, the GCF of 8375/254,5400/6137 is 25/1558798.
To find the highest common factor of 8375,5400, we have to find the factors of both numbers and list the highest common factor.
The factors of 8375 are 1, 5, 25, 67, 125, 335, 1675, 8375
The factors of 5400 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 90, 100, 108, 120, 135, 150, 180, 200, 216, 225, 270, 300, 360, 450, 540, 600, 675, 900, 1080, 1350, 1800, 2700, 5400
The HCF of 8375,5400 is 25.
Lets's calculate GCF of 8375,5400
| 5 | 8375, 5400 |
| 5 | 1675, 1080 |
| 335, 216 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 8375,5400 By Matching Biggest Common Factor Method
Now, list down the factors of 8375
:1,5,25,67,125,335,1675,8375
Now, list down the factors of 5400
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,27,30,36,40,45,50,54,60,72,75,90,100,108,120,135,150,180,200,216,225,270,300,360,450,540,600,675,900,1080,1350,1800,2700,5400
Greatest Common Factor
We found the factors 8375,5400 . The biggest common factor number is the GCF number.
So the greatest common factor 8375,5400 is 25.
Lets's calculate LCM of 254,6137
Given numbers has no common factors except 1. So, there LCM is their product i.e 1558798
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/1558798
Therefore, the GCF of Fractions 8375/254,5400/6137 is 25/1558798
Least Common Multiple of 254,6137 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 254,6137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(254,6137) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(254,6137) x common factors =1 x 1 = 1
LCM(254,6137) = ( 254 × 6137 ) / 1
LCM(254,6137) = 1558798 / 1
LCM(254,6137) = 1558798
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FAQs on GCF of Fractions of 8375/254, 5400/6137
1. What is the HCF of 8375,5400?
The HCF of 8375,5400 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 8375/254, 5400/6137?
Answer: GCF of Numerators as per given numbers 8375/254, 5400/6137 is
GCF of Numerators i.e. for 8375,5400 is 25
LCM of denominators i.e. for 254,6137 is 1558798.
Thus, GCF of Fractions is 25/1558798.Finally, GCF of Fractions for 8375/254, 5400/6137 is 25/1558798.