GCF of 8725/900, 6425/761
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8725/900, 6425/761 i.e 25/684900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8725/900, 6425/761.
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 8725/900,6425/761?
Given fractions are 8725/900,6425/761
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 8725/900,6425/761, numerators are 8725,6425
Denominators are 900,761
The GCF of 8725,6425 is 25 .
LCM of 900,761 is 684900.
The greatest common factor of 8725/900,6425/761 = [GCF of 8725,6425]/[LCM of 900,761]= 25/684900
Therefore, the GCF of 8725/900,6425/761 is 25/684900.
To find the highest common factor of 8725,6425, we have to find the factors of both numbers and list the highest common factor.
The factors of 8725 are 1, 5, 25, 349, 1745, 8725
The factors of 6425 are 1, 5, 25, 257, 1285, 6425
The HCF of 8725,6425 is 25.
Lets's calculate GCF of 8725,6425
| 5 | 8725, 6425 |
| 5 | 1745, 1285 |
| 349, 257 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 8725,6425 By Matching Biggest Common Factor Method
Now, list down the factors of 8725
:1,5,25,349,1745,8725
Now, list down the factors of 6425
:1,5,25,257,1285,6425
Greatest Common Factor
We found the factors 8725,6425 . The biggest common factor number is the GCF number.
So the greatest common factor 8725,6425 is 25.
Lets's calculate LCM of 900,761
Given numbers has no common factors except 1. So, there LCM is their product i.e 684900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/684900
Therefore, the GCF of Fractions 8725/900,6425/761 is 25/684900
Least Common Multiple of 900,761 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 900,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(900,761) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(900,761) x common factors =1 x 1 = 1
LCM(900,761) = ( 900 × 761 ) / 1
LCM(900,761) = 684900 / 1
LCM(900,761) = 684900
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FAQs on GCF of Fractions of 8725/900, 6425/761
1. What is the HCF of 8725,6425?
The HCF of 8725,6425 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 8725/900, 6425/761?
Answer: GCF of Numerators as per given numbers 8725/900, 6425/761 is
GCF of Numerators i.e. for 8725,6425 is 25
LCM of denominators i.e. for 900,761 is 684900.
Thus, GCF of Fractions is 25/684900.Finally, GCF of Fractions for 8725/900, 6425/761 is 25/684900.