GCF of 5020/375, 9271/8109
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5020/375, 9271/8109 i.e 1/1013625 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5020/375, 9271/8109.
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 5020/375,9271/8109?
Given fractions are 5020/375,9271/8109
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 5020/375,9271/8109, numerators are 5020,9271
Denominators are 375,8109
The GCF of 5020,9271 is 1 .
LCM of 375,8109 is 1013625.
The greatest common factor of 5020/375,9271/8109 = [GCF of 5020,9271]/[LCM of 375,8109]= 1/1013625
Therefore, the GCF of 5020/375,9271/8109 is 1/1013625.
To find the highest common factor of 5020,9271, we have to find the factors of both numbers and list the highest common factor.
The factors of 5020 are 1, 2, 4, 5, 10, 20, 251, 502, 1004, 1255, 2510, 5020
The factors of 9271 are 1, 73, 127, 9271
The HCF of 5020,9271 is 1.
Lets's calculate GCF of 5020,9271
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5020,9271 By Matching Biggest Common Factor Method
Now, list down the factors of 5020
:1,2,4,5,10,20,251,502,1004,1255,2510,5020
Now, list down the factors of 9271
:1,73,127,9271
Greatest Common Factor
We found the factors 5020,9271 . The biggest common factor number is the GCF number.
So the greatest common factor 5020,9271 is 1.
Lets's calculate LCM of 375,8109
| 3 | 375, 8109 |
| 125, 2703 |
∴ So the LCM of the given numbers is 3 x 125 x 2703 = 1013625
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1013625
Therefore, the GCF of Fractions 5020/375,9271/8109 is 1/1013625
Least Common Multiple of 375,8109 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 375,8109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(375,8109) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(375,8109) x common factors =3 x 1 = 3
LCM(375,8109) = ( 375 × 8109 ) / 3
LCM(375,8109) = 3040875 / 3
LCM(375,8109) = 1013625
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FAQs on GCF of Fractions of 5020/375, 9271/8109
1. What is the HCF of 5020,9271?
The HCF of 5020,9271 is 1
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 5020/375, 9271/8109?
Answer: GCF of Numerators as per given numbers 5020/375, 9271/8109 is
GCF of Numerators i.e. for 5020,9271 is 1
LCM of denominators i.e. for 375,8109 is 1013625.
Thus, GCF of Fractions is 1/1013625.Finally, GCF of Fractions for 5020/375, 9271/8109 is 1/1013625.