GCF of 7135/625, 9175/8832
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7135/625, 9175/8832 i.e 5/5520000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7135/625, 9175/8832.
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 7135/625,9175/8832?
Given fractions are 7135/625,9175/8832
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 7135/625,9175/8832, numerators are 7135,9175
Denominators are 625,8832
The GCF of 7135,9175 is 5 .
LCM of 625,8832 is 5520000.
The greatest common factor of 7135/625,9175/8832 = [GCF of 7135,9175]/[LCM of 625,8832]= 5/5520000
Therefore, the GCF of 7135/625,9175/8832 is 5/5520000.
To find the highest common factor of 7135,9175, we have to find the factors of both numbers and list the highest common factor.
The factors of 7135 are 1, 5, 1427, 7135
The factors of 9175 are 1, 5, 25, 367, 1835, 9175
The HCF of 7135,9175 is 5.
Lets's calculate GCF of 7135,9175
| 5 | 7135, 9175 |
| 1427, 1835 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 7135,9175 By Matching Biggest Common Factor Method
Now, list down the factors of 7135
:1,5,1427,7135
Now, list down the factors of 9175
:1,5,25,367,1835,9175
Greatest Common Factor
We found the factors 7135,9175 . The biggest common factor number is the GCF number.
So the greatest common factor 7135,9175 is 5.
Lets's calculate LCM of 625,8832
Given numbers has no common factors except 1. So, there LCM is their product i.e 5520000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/5520000
Therefore, the GCF of Fractions 7135/625,9175/8832 is 5/5520000
Least Common Multiple of 625,8832 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 625,8832 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(625,8832) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(625,8832) x common factors =1 x 1 = 1
LCM(625,8832) = ( 625 × 8832 ) / 1
LCM(625,8832) = 5520000 / 1
LCM(625,8832) = 5520000
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FAQs on GCF of Fractions of 7135/625, 9175/8832
1. What is the HCF of 7135,9175?
The HCF of 7135,9175 is 5
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 7135/625, 9175/8832?
Answer: GCF of Numerators as per given numbers 7135/625, 9175/8832 is
GCF of Numerators i.e. for 7135,9175 is 5
LCM of denominators i.e. for 625,8832 is 5520000.
Thus, GCF of Fractions is 5/5520000.Finally, GCF of Fractions for 7135/625, 9175/8832 is 5/5520000.