GCF of 7325/830, 6150/1350
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7325/830, 6150/1350 i.e 25/112050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7325/830, 6150/1350.
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 7325/830,6150/1350?
Given fractions are 7325/830,6150/1350
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 7325/830,6150/1350, numerators are 7325,6150
Denominators are 830,1350
The GCF of 7325,6150 is 25 .
LCM of 830,1350 is 112050.
The greatest common factor of 7325/830,6150/1350 = [GCF of 7325,6150]/[LCM of 830,1350]= 25/112050
Therefore, the GCF of 7325/830,6150/1350 is 25/112050.
To find the highest common factor of 7325,6150, we have to find the factors of both numbers and list the highest common factor.
The factors of 7325 are 1, 5, 25, 293, 1465, 7325
The factors of 6150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 41, 50, 75, 82, 123, 150, 205, 246, 410, 615, 1025, 1230, 2050, 3075, 6150
The HCF of 7325,6150 is 25.
Lets's calculate GCF of 7325,6150
| 5 | 7325, 6150 |
| 5 | 1465, 1230 |
| 293, 246 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 7325,6150 By Matching Biggest Common Factor Method
Now, list down the factors of 7325
:1,5,25,293,1465,7325
Now, list down the factors of 6150
:1,2,3,5,6,10,15,25,30,41,50,75,82,123,150,205,246,410,615,1025,1230,2050,3075,6150
Greatest Common Factor
We found the factors 7325,6150 . The biggest common factor number is the GCF number.
So the greatest common factor 7325,6150 is 25.
Lets's calculate LCM of 830,1350
| 2 | 830, 1350 |
| 5 | 415, 675 |
| 83, 135 |
∴ So the LCM of the given numbers is 2 x 5 x 83 x 135 = 112050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/112050
Therefore, the GCF of Fractions 7325/830,6150/1350 is 25/112050
Least Common Multiple of 830,1350 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 830,1350 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(830,1350) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(830,1350) x common factors =10 x 1 = 10
LCM(830,1350) = ( 830 × 1350 ) / 10
LCM(830,1350) = 1120500 / 10
LCM(830,1350) = 112050
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FAQs on GCF of Fractions of 7325/830, 6150/1350
1. What is the HCF of 7325,6150?
The HCF of 7325,6150 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 7325/830, 6150/1350?
Answer: GCF of Numerators as per given numbers 7325/830, 6150/1350 is
GCF of Numerators i.e. for 7325,6150 is 25
LCM of denominators i.e. for 830,1350 is 112050.
Thus, GCF of Fractions is 25/112050.Finally, GCF of Fractions for 7325/830, 6150/1350 is 25/112050.